Pub Date : 2024-07-23DOI: 10.9734/ajpas/2024/v26i8638
Erikha Feriyanto, Farikhin, N. P. Puspita
Aims: Sample: To determine the effectiveness of the proposed forecasting method, namely Singh's fuzzy time series based on high order (third order) interval ratios. And find out the forecasting results in January 2022. Study Design: Modification of Singh's fuzzy time series based on interval ratios. Place and Duration of Study: Sample: monthly rainfall data for Semarang City from January 2017 to December 2021. Methodology: The method proposed by the researcher is the Singh fuzzy time series forecasting method based on high order (third order) interval ratios. This research method uses a combination of Chen and Singh's fuzzy time series. Applying Chen's fuzzy time series in the section determining the universe of discourse () to fuzzification which includes determining the universe of discourse, determining interval partitions, forming Fuzzy Logical Relationships and Fuzzy Logical Relationship Groups. Then apply Singh's fuzzy time series to the forecasting part. Finally, calculate the Average Forecasting Error Rate (AFER) to test forecasting performance. In the forecasting part, it is obtained through a heuristic approach by building high order forecasting rules to obtain better results and have an effect on very small AFER values. In the step of determining the interval partition, this research uses the interval ratio method which aims to reflect variations in historical data. Conclusion: Based on the calculation of the AFER value, the AFER for third order is 0.2422%. It can be said that Singh's fuzzy time series forecasting method based on high order (third order) interval ratios on monthly rainfall data for Semarang City from January 2017 to December 2021 is very good. And the rainfall forecast for January 2022 is 196.80 mm3 or into the category of very heavy rain.
{"title":"Monthly Rainfall Forecasting Using High Order Singh’s Fuzzy Time Series Based on Interval Ratio Methods: Case Study Semarang City, Indonesia","authors":"Erikha Feriyanto, Farikhin, N. P. Puspita","doi":"10.9734/ajpas/2024/v26i8638","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i8638","url":null,"abstract":"Aims: Sample: To determine the effectiveness of the proposed forecasting method, namely Singh's fuzzy time series based on high order (third order) interval ratios. And find out the forecasting results in January 2022. \u0000Study Design: Modification of Singh's fuzzy time series based on interval ratios. \u0000Place and Duration of Study: Sample: monthly rainfall data for Semarang City from January 2017 to December 2021. \u0000Methodology: The method proposed by the researcher is the Singh fuzzy time series forecasting method based on high order (third order) interval ratios. This research method uses a combination of Chen and Singh's fuzzy time series. Applying Chen's fuzzy time series in the section determining the universe of discourse () to fuzzification which includes determining the universe of discourse, determining interval partitions, forming Fuzzy Logical Relationships and Fuzzy Logical Relationship Groups. Then apply Singh's fuzzy time series to the forecasting part. Finally, calculate the Average Forecasting Error Rate (AFER) to test forecasting performance. In the forecasting part, it is obtained through a heuristic approach by building high order forecasting rules to obtain better results and have an effect on very small AFER values. In the step of determining the interval partition, this research uses the interval ratio method which aims to reflect variations in historical data. \u0000Conclusion: Based on the calculation of the AFER value, the AFER for third order is 0.2422%. It can be said that Singh's fuzzy time series forecasting method based on high order (third order) interval ratios on monthly rainfall data for Semarang City from January 2017 to December 2021 is very good. And the rainfall forecast for January 2022 is 196.80 mm3 or into the category of very heavy rain.","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":"35 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141813905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-20DOI: 10.9734/ajpas/2024/v26i8636
Otieno Kevin Okumu, O. J. Ouno, A. Karanjah, S. N. Muthiga
.
.
{"title":"Three-Parameters Gumbel Distribution: Properties and Application","authors":"Otieno Kevin Okumu, O. J. Ouno, A. Karanjah, S. N. Muthiga","doi":"10.9734/ajpas/2024/v26i8636","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i8636","url":null,"abstract":"<jats:p>.</jats:p>","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":"60 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141819218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-20DOI: 10.9734/ajpas/2024/v26i8637
Beatrice M. Gathongo
This study provides a novel method for obtaining Erlang mixtures from a mixed Poisson process. The study solved the basic differential equations of the Poisson process to obtain the Poisson distribution. The waiting time distribution in a Poisson process is illustrated as an Erlang distribution. The study also presented the Erlang mixture as the first passage time distribution in the mixed Poisson process, which was expressed using both the direct method and the method of moments. Moreover, these two ways of inferring a mathematical identity have been equated. The exponential mixture and Poisson mixture are explained as special cases of the Erlang mixture. A practical example is given, using type II gamma distribution mixtures. Properties of the mixtures, such as raw moments and probability generating function, are analyzed.
本研究提供了一种从混合泊松过程中获得埃朗混合物的新方法。该研究通过求解泊松过程的基本微分方程来获得泊松分布。泊松过程中的等待时间分布被说明为二郎分布。研究还将二郎混合分布作为混合泊松过程中的第一次通过时间分布，并用直接法和矩法进行了表达。此外，这两种推断数学同一性的方法已被等同起来。指数混合过程和泊松混合过程被解释为二朗混合过程的特例。还给出了一个使用 II 型伽马分布混合物的实际例子。分析了混合物的性质，如原始矩和概率生成函数。
{"title":"Continuous Erlang Mixtures and their Relation to Exponential Mixtures and Poisson Mixtures","authors":"Beatrice M. Gathongo","doi":"10.9734/ajpas/2024/v26i8637","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i8637","url":null,"abstract":"This study provides a novel method for obtaining Erlang mixtures from a mixed Poisson process. The study solved the basic differential equations of the Poisson process to obtain the Poisson distribution. The waiting time distribution in a Poisson process is illustrated as an Erlang distribution. The study also presented the Erlang mixture as the first passage time distribution in the mixed Poisson process, which was expressed using both the direct method and the method of moments. Moreover, these two ways of inferring a mathematical identity have been equated. The exponential mixture and Poisson mixture are explained as special cases of the Erlang mixture. A practical example is given, using type II gamma distribution mixtures. Properties of the mixtures, such as raw moments and probability generating function, are analyzed.","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":"108 46","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141820468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-19DOI: 10.9734/ajpas/2024/v26i8635
Haruna Suleiman, Jibrin Abdullahi Yafu, Audu Ahmed
Separate and Combined dual to ratio-product-cum estimators of the population mean under stratified random sampling scheme are suggested using the ideas and the analogy of (Walsh [1], Reddy [2], Tripathi [3]) and adopted strategy initiated by (Koyuncu and Kadilar [4], Singh et al., [5], Yasmeen et al., [6], Rather and Kadilar [7]) as well as the two auxiliaries variable. Asymptotic properties of proposed estimators such as BIASs, MSEs and MMSEs up to first order of approximation by Tailor series approach were deduced and reported. Performance is evaluated and examined with others related estimators considered using empirical study utilized two natural populations and simulated data sets. The statistical package R plus is used for computations. However, Results eventually indicated the superiority of proposed estimators over existing traditional estimators mentioned in studied.
利用（Walsh [1]、Reddy [2]、Tripathi [3]）的观点和类比，并采用（Koyuncu 和 Kadilar [4]、Singh 等人[5]、Yasmeen 等人[6]、Rather 和 Kadilar [7]）提出的策略以及两个辅助变量，提出了分层随机抽样方案下人口平均值的独立和组合对偶比-乘积-估计器。推导并报告了所提估计器的渐近特性，如 BIAS、MSE 和 MMSE，直至用 Tailor 系列方法逼近的一阶。通过利用两个自然种群和模拟数据集进行实证研究，评估和检验了与其他相关估计器的性能。计算使用了 R plus 统计软件包。然而，结果最终表明，所提出的估计方法优于研究中提到的现有传统估计方法。
{"title":"Efficiency of Modified Exponential Dual to Ratio-Product-Cum Type Estimator under Stratified Sampling Using Two Auxiliary Variables","authors":"Haruna Suleiman, Jibrin Abdullahi Yafu, Audu Ahmed","doi":"10.9734/ajpas/2024/v26i8635","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i8635","url":null,"abstract":"Separate and Combined dual to ratio-product-cum estimators of the population mean under stratified random sampling scheme are suggested using the ideas and the analogy of (Walsh [1], Reddy [2], Tripathi [3]) and adopted strategy initiated by (Koyuncu and Kadilar [4], Singh et al., [5], Yasmeen et al., [6], Rather and Kadilar [7]) as well as the two auxiliaries variable. Asymptotic properties of proposed estimators such as BIASs, MSEs and MMSEs up to first order of approximation by Tailor series approach were deduced and reported. Performance is evaluated and examined with others related estimators considered using empirical study utilized two natural populations and simulated data sets. The statistical package R plus is used for computations. However, Results eventually indicated the superiority of proposed estimators over existing traditional estimators mentioned in studied.","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":"116 36","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141821114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-17DOI: 10.9734/ajpas/2024/v26i8634
Pathikrit Basu
In this paper, we consider further propositions concerning the range of possible distributions over the unit circle, for the Riemann zeta function as in prior research. We also derive some new upper bounds on the sum of norms for the tail sequence corresponding to the Riemann zeta function. We discuss some hypotheses, conditional on which, properties of concentrated distributions may be obtained. Specific sub-classes are shown of distributions that occur infinitely often along the imaginary axis.
{"title":"On Propositions Pertaining to the Riemann Hypothesis III","authors":"Pathikrit Basu","doi":"10.9734/ajpas/2024/v26i8634","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i8634","url":null,"abstract":"In this paper, we consider further propositions concerning the range of possible distributions over the unit circle, for the Riemann zeta function as in prior research. We also derive some new upper bounds on the sum of norms for the tail sequence corresponding to the Riemann zeta function. We discuss some hypotheses, conditional on which, properties of concentrated distributions may be obtained. Specific sub-classes are shown of distributions that occur infinitely often along the imaginary axis.","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":" 25","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141829708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-04DOI: 10.9734/ajpas/2024/v26i6625
Anosike Joseph Ugonna, Amagoh Maureen Nkechi, Orumie, Ukamaka Cynthia
In the fields of operations research and computer science, the traveling salesman problem (also known as TSP) is a classic algorithmic issue. One method for solving TSP is dynamic programming, which identifies the optimal path at the lowest possible cost. It starts by determining the shortest path between two points, and then it expands to identify routes to other sites. In order to solve the Travel salesman Problem, Dynamic Programming was used in this study as a a solution technique. In addition to a real-world application from AM-EXPRESS NIGERIA LIMITED, illustrative examples of travel salesman difficulties were taken into consideration and handled utilizing the dynamic programming technique. The finding's outcome showed that the least amount of money needed to provide logistical services is ₦6500, and the shortest possible paths or routes were found.
{"title":"Travel Salesman Problem Using Dynamic Programming","authors":"Anosike Joseph Ugonna, Amagoh Maureen Nkechi, Orumie, Ukamaka Cynthia","doi":"10.9734/ajpas/2024/v26i6625","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i6625","url":null,"abstract":"In the fields of operations research and computer science, the traveling salesman problem (also known as TSP) is a classic algorithmic issue. One method for solving TSP is dynamic programming, which identifies the optimal path at the lowest possible cost. It starts by determining the shortest path between two points, and then it expands to identify routes to other sites. In order to solve the Travel salesman Problem, Dynamic Programming was used in this study as a a solution technique. In addition to a real-world application from AM-EXPRESS NIGERIA LIMITED, illustrative examples of travel salesman difficulties were taken into consideration and handled utilizing the dynamic programming technique. The finding's outcome showed that the least amount of money needed to provide logistical services is ₦6500, and the shortest possible paths or routes were found.","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":"5 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141267538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-04DOI: 10.9734/ajpas/2024/v26i6624
Mary Ng’endo Githinji, Isaac Chepkwony
The discovery that the spread of tuberculosis reduced significantly in the last two years has been associated with the preventive measures placed to combat the spread of COVID-19. This shows a string correlation between the spread of COVID-19 and tuberculosis in any population. It is worth noting that tuberculosis and COVID-19 are among the leading most deadly diseases in the world today. The correlation in their spread also leaves us to believe that the spread of one can enhance the spread of the other. Hence, we propose the situation where a population is co-infected with the two diseases. The mathematical model is formulated using conservative laws and the resulting model analysed. The stability of the co-infection is analysed and the non-negativity conditions for the solution is established. It is found that tuberculosis sub-population reaches the highest capacity when the recruitment into the COVID-19 subpopulation is the lowest while the COVID-19 sub-population is attained when the rate of recruitment into the COVID-19 subpopulation is the highest.
{"title":"Investigating the Impact of TB or COVID-19 Infections on a Population Suffering from TB/COVID-19 Coinfection","authors":"Mary Ng’endo Githinji, Isaac Chepkwony","doi":"10.9734/ajpas/2024/v26i6624","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i6624","url":null,"abstract":"The discovery that the spread of tuberculosis reduced significantly in the last two years has been associated with the preventive measures placed to combat the spread of COVID-19. This shows a string correlation between the spread of COVID-19 and tuberculosis in any population. It is worth noting that tuberculosis and COVID-19 are among the leading most deadly diseases in the world today. The correlation in their spread also leaves us to believe that the spread of one can enhance the spread of the other. Hence, we propose the situation where a population is co-infected with the two diseases. The mathematical model is formulated using conservative laws and the resulting model analysed. The stability of the co-infection is analysed and the non-negativity conditions for the solution is established. It is found that tuberculosis sub-population reaches the highest capacity when the recruitment into the COVID-19 subpopulation is the lowest while the COVID-19 sub-population is attained when the rate of recruitment into the COVID-19 subpopulation is the highest.","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":"86 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141267888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.9734/ajpas/2024/v26i6623
N. O. Cornelious, Japheth Maisiba Ogega
In this study, two new second order rotatable designs of thirty-five and forty-five points are constructed respectively using transformations of some trigonometric functions. The designs are s rotatable since they satisfy both the outlined moment conditions and the non-singularity conditions. Second-order rotatable designs are useful for optimizing these processes in chemical industries, agriculture and engineering by systematically varying the factors of interest and studying their combined effects on the response variables. This helps in identifying the optimal settings for maximum or minimum responses.
{"title":"Construction of two New Second Order Rotatable Designs Using Trigonometric Functions","authors":"N. O. Cornelious, Japheth Maisiba Ogega","doi":"10.9734/ajpas/2024/v26i6623","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i6623","url":null,"abstract":"In this study, two new second order rotatable designs of thirty-five and forty-five points are constructed respectively using transformations of some trigonometric functions. The designs are s rotatable since they satisfy both the outlined moment conditions and the non-singularity conditions. Second-order rotatable designs are useful for optimizing these processes in chemical industries, agriculture and engineering by systematically varying the factors of interest and studying their combined effects on the response variables. This helps in identifying the optimal settings for maximum or minimum responses.","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":"6 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141271447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-23DOI: 10.9734/ajpas/2024/v26i4609
Suman Kalyan Ghosh, S. Ravi
After a brief introduction to ordinary renewal process, we have defined compound renewal process generated by an ordinary renewal process followed by the distributional properties of the corresponding random variables. A few results are obtained by comparing independent renewal processes with respect to several stochastic orderings between the generating inter-arrival time random variables, like, stochastic order, hazard rate order, likelihood ratio order and variability order, as well as some ageing classes of the generating random variables. Some numerical illustrations are given. The results obtained here appear to be new.
{"title":"On Some Stochastic Ordering Comparisons for Renewal Processes","authors":"Suman Kalyan Ghosh, S. Ravi","doi":"10.9734/ajpas/2024/v26i4609","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i4609","url":null,"abstract":"After a brief introduction to ordinary renewal process, we have defined compound renewal process generated by an ordinary renewal process followed by the distributional properties of the corresponding random variables. A few results are obtained by comparing independent renewal processes with respect to several stochastic orderings between the generating inter-arrival time random variables, like, stochastic order, hazard rate order, likelihood ratio order and variability order, as well as some ageing classes of the generating random variables. Some numerical illustrations are given. The results obtained here appear to be new.","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":"17 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140671979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-20DOI: 10.9734/ajpas/2024/v26i4608
Hongjie Fan, Changlin Wan
Based on the data of 16 prefecture level cities in Anhui Province, eight indicators in the three directions of environmental pollution, resource input and labor input are selected as input variables. The output indicators include economic and social benefits. Combining the traditional DEA and SBM super efficiency data envelopment analysis model, the super efficiency value and ranking of tourism development of each prefecture level city under the non-oriented and variable return to scale model are obtained. This paper analyzes the development efficiency of tourism in this period from the prefecture level city and regional level, and puts forward reasonable suggestions. Increase the development of tourism resources; Improve the urban tourism system with weak potential; Promote regional cooperation and linkage development; Promote the common growth of tourism industry and regional economy.
以安徽省 16 个地级市的数据为基础，选取环境污染、资源投入和劳动力投入三个方向的 8 个指标作为投入变量。产出指标包括经济效益和社会效益。结合传统的 DEA 和 SBM 超效率数据包络分析模型，得到无导向和可变规模收益模型下各地级市旅游发展的超效率值和排名。本文从地级市和区域层面分析了这一时期旅游业的发展效率，并提出了合理化建议。加大旅游资源开发力度；完善潜力薄弱的城市旅游体系；促进区域合作与联动发展；促进旅游产业与区域经济共同增长。
{"title":"Assessing Urban Tourism Development Efficiency: Based on a DEA Approach","authors":"Hongjie Fan, Changlin Wan","doi":"10.9734/ajpas/2024/v26i4608","DOIUrl":"https://doi.org/10.9734/ajpas/2024/v26i4608","url":null,"abstract":"Based on the data of 16 prefecture level cities in Anhui Province, eight indicators in the three directions of environmental pollution, resource input and labor input are selected as input variables. The output indicators include economic and social benefits. Combining the traditional DEA and SBM super efficiency data envelopment analysis model, the super efficiency value and ranking of tourism development of each prefecture level city under the non-oriented and variable return to scale model are obtained. This paper analyzes the development efficiency of tourism in this period from the prefecture level city and regional level, and puts forward reasonable suggestions. Increase the development of tourism resources; Improve the urban tourism system with weak potential; Promote regional cooperation and linkage development; Promote the common growth of tourism industry and regional economy.","PeriodicalId":502163,"journal":{"name":"Asian Journal of Probability and Statistics","volume":" 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140681495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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