Pub Date : 2019-11-07DOI: 10.13052/jrss2229-5666.1227
Tabasam Sultana, Faqir Muhammad, M. Aslam
This paper deals with various methods of estimation used for estimating the parameters of lifetime distributions. The distributions considered are exponential, Weibull, Rayleigh, lognormal and gamma and the method used are: method of moments, maximum likelihood, probability weighted moments, least squares and relative least squares. To compare the efficiency between the different methods of estimation, we used the total deviation, mean squared error and probability plot correlation coefficients. In order to study numerically, the execution of the different methods of estimation and goodness of fit analysis, their statistical properties have been simulated for different sample sizes. The graphs of bias designed for different methods of estimation have also been plotted against various sample sizes.
{"title":"ESTIMATION OF PARAMETERS FOR THE LIFETIME DISTRIBUTIONS","authors":"Tabasam Sultana, Faqir Muhammad, M. Aslam","doi":"10.13052/jrss2229-5666.1227","DOIUrl":"https://doi.org/10.13052/jrss2229-5666.1227","url":null,"abstract":"This paper deals with various methods of estimation used for estimating the parameters of lifetime distributions. The distributions considered are exponential, Weibull, Rayleigh, lognormal and gamma and the method used are: method of moments, maximum likelihood, probability weighted moments, least squares and relative least squares. To compare the efficiency between the different methods of estimation, we used the total deviation, mean squared error and probability plot correlation coefficients. In order to study numerically, the execution of the different methods of estimation and goodness of fit analysis, their statistical properties have been simulated for different sample sizes. The graphs of bias designed for different methods of estimation have also been plotted against various sample sizes. \u0000 ","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49146426","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 : 2019-10-22DOI: 10.13052/jrss2229-5666.1224
Anu Sayal, A. Singh, Deepak Aggarwal
The economic instability is a haunting situation in the present era for the economy. There is a monetary depreciation due to the tremendous increase in the price of the commodities. Present study basically deals with the investigation of the inventory system considering the case of perishable products under inflationary environment under condition of partial backorder. The rate of demand is a function which exponentially increases with increase in inflation and deterioration is taken as a Weibull distributed two parameter function. In the state of shortage when the inventory system runs out of stock an assumption is made that the demands are backlogged or lost. There is a variation in the rate of backlogging which shows this variation as a consequence of lead time required for the arrival of the next replenishment. The deterioration of commodities begins after a fixed interval of time. Present model aims at minimizing the average total cost considering both the crisp and fuzzy environments considering both inflationary effect as well as the time value of money. For the fuzzy economic order quantity (FEOQ) model of the inventory system fuzzification has been done by the use of fuzzy number of the trapezoidal nature. Defuzzification has been done by the use of centroid method. The primary motive of this work is to determine and compare the cost in total of the system of inventory in both crisp and fuzzy environments. The main inference that we can draw from this study is that fuzzy economic order quantity (FEOQ) model has more accuracy as in this model the total cost has been reduced as compared to the crisp model. Thus fuzzy economic order quantity (FEOQ) model is highly beneficial to any sort of inventory system and this result can be further generalized to any sector for enhancing the total profit of the system. Appropriate example has been provided for the illustration of both the models.
{"title":"AN OPTIMIZATION OF FEOQ MODEL FOR WEIBULL DETERIORATING ITEMS WITH INFLATIONARY CONDITION","authors":"Anu Sayal, A. Singh, Deepak Aggarwal","doi":"10.13052/jrss2229-5666.1224","DOIUrl":"https://doi.org/10.13052/jrss2229-5666.1224","url":null,"abstract":"The economic instability is a haunting situation in the present era for the economy. There is a monetary depreciation due to the tremendous increase in the price of the commodities. Present study basically deals with the investigation of the inventory system considering the case of perishable products under inflationary environment under condition of partial backorder. The rate of demand is a function which exponentially increases with increase in inflation and deterioration is taken as a Weibull distributed two parameter function. In the state of shortage when the inventory system runs out of stock an assumption is made that the demands are backlogged or lost. There is a variation in the rate of backlogging which shows this variation as a consequence of lead time required for the arrival of the next replenishment. The deterioration of commodities begins after a fixed interval of time. Present model aims at minimizing the average total cost considering both the crisp and fuzzy environments considering both inflationary effect as well as the time value of money. For the fuzzy economic order quantity (FEOQ) model of the inventory system fuzzification has been done by the use of fuzzy number of the trapezoidal nature. Defuzzification has been done by the use of centroid method. The primary motive of this work is to determine and compare the cost in total of the system of inventory in both crisp and fuzzy environments. The main inference that we can draw from this study is that fuzzy economic order quantity (FEOQ) model has more accuracy as in this model the total cost has been reduced as compared to the crisp model. Thus fuzzy economic order quantity (FEOQ) model is highly beneficial to any sort of inventory system and this result can be further generalized to any sector for enhancing the total profit of the system. Appropriate example has been provided for the illustration of both the models. \u0000 ","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46131752","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 : 2019-10-13DOI: 10.13052/jrss2229-5666.1225
Sujan Rudra, S. Biswas
Our main aim is to identify the factors that influence the use of manufactured cigarettes among tobacco users especially those whose age is above fifteen. Among the tobacco users, a large portion of adult does not take manufactured cigarettes but take other tobacco. As a result, we need to construct a model that can handle the existence of excess zero counts and the over-dispersed phenomenon. Motivated by these facts, in this paper, we propose to apply the Hurdle Negative Binomial (HNB) regression model to discover the relationships between uses of manufactured cigarettes and social factors. The data were found to have excess zeros (35%); moreover, the variance is 47.122, which is much higher than its mean 5.933. With excess zeros and high variability of non-zero outcomes, the HNB model was found to be better fitted.
{"title":"MODELS FOR ANALYZING OVER-DISPERSED HURDLE NEGATIVE BINOMIAL REGRESSION MODEL: AN APPLICATION TO MANUFACTURED CIGARETTE USE","authors":"Sujan Rudra, S. Biswas","doi":"10.13052/jrss2229-5666.1225","DOIUrl":"https://doi.org/10.13052/jrss2229-5666.1225","url":null,"abstract":"Our main aim is to identify the factors that influence the use of manufactured cigarettes among tobacco users especially those whose age is above fifteen. Among the tobacco users, a large portion of adult does not take manufactured cigarettes but take other tobacco. As a result, we need to construct a model that can handle the existence of excess zero counts and the over-dispersed phenomenon. Motivated by these facts, in this paper, we propose to apply the Hurdle Negative Binomial (HNB) regression model to discover the relationships between uses of manufactured cigarettes and social factors. The data were found to have excess zeros (35%); moreover, the variance is 47.122, which is much higher than its mean 5.933. With excess zeros and high variability of non-zero outcomes, the HNB model was found to be better fitted. \u0000 ","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45892342","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 : 2019-10-12DOI: 10.13052/jrss2229-5666.1223
M. Islam, M. H. R. Khan
Measuring human quality and well-being by the human development index (HDI) is very challenging as it is a composite index of many socio-economic variables. However, a simple index called literate life expectancy (LLE) by combining life expectancy and literacy only can be used as an alternative measure, which is less data intensive than HDI. LLE is the average life expectancy that a person lives under literate state. Length of life in literate state has many positive implications on social, economic and political aspects of life. In this paper an attempt has been made to construct LLE for Omani population with its gender differentials. The data for the study were extracted from the 2015 Statistical Year Book and the 2010 Population and Census report of Oman published by the National Centre for Statistics & Information. Despite socioeconomic progress, levels of education among women in Oman are not the same as men. The analysis shows the remarkable differences in the LLE between men and women for almost all age groups. The Omani female population is much lag behind in literate life expectancy than the Omani male population. The results underscore the need to take necessary steps for reducing gender gap in LLE in Oman.
{"title":"LITERATE LIFE EXPECTANCY AND ITS GENDER DIFFERENTIALS IN OMAN","authors":"M. Islam, M. H. R. Khan","doi":"10.13052/jrss2229-5666.1223","DOIUrl":"https://doi.org/10.13052/jrss2229-5666.1223","url":null,"abstract":"Measuring human quality and well-being by the human development index (HDI) is very challenging as it is a composite index of many socio-economic variables. However, a simple index called literate life expectancy (LLE) by combining life expectancy and literacy only can be used as an alternative measure, which is less data intensive than HDI. LLE is the average life expectancy that a person lives under literate state. Length of life in literate state has many positive implications on social, economic and political aspects of life. In this paper an attempt has been made to construct LLE for Omani population with its gender differentials. The data for the study were extracted from the 2015 Statistical Year Book and the 2010 Population and Census report of Oman published by the National Centre for Statistics & Information. Despite socioeconomic progress, levels of education among women in Oman are not the same as men. The analysis shows the remarkable differences in the LLE between men and women for almost all age groups. The Omani female population is much lag behind in literate life expectancy than the Omani male population. The results underscore the need to take necessary steps for reducing gender gap in LLE in Oman. \u0000 ","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44323229","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 : 2019-10-10DOI: 10.13052/jrss2229-5666.1222
Prabhakar Mishra, Rajesh Singh, S. Khare
It is experienced that auxiliary information when suitably incorporated yields more efficient and precise estimates. Mishra et al. (2017) have introduced a log type estimator for estimating unknown population mean using ancillary information in simple random sampling. Here we propose an improved log-product type estimator for population variance under double sampling. Properties of the estimators are studied both mathematically and numerically.
{"title":"ESTIMATION OF POPULATION VARIANCE IN LOG – PRODUCT TYPE ESTIMATORS UNDER DOUBLE SAMPLING SCHEME","authors":"Prabhakar Mishra, Rajesh Singh, S. Khare","doi":"10.13052/jrss2229-5666.1222","DOIUrl":"https://doi.org/10.13052/jrss2229-5666.1222","url":null,"abstract":"It is experienced that auxiliary information when suitably incorporated yields more efficient and precise estimates. Mishra et al. (2017) have introduced a log type estimator for estimating unknown population mean using ancillary information in simple random sampling. Here we propose an improved log-product type estimator for population variance under double sampling. Properties of the estimators are studied both mathematically and numerically. \u0000 ","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44390455","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 : 2019-09-30DOI: 10.13052/jrss2229-5666.1226
M. Chaithra, Pramit Pandit, Bishvajit Bakshi
The cultivation and marketing of cashew nut involve a considerable amount of work force. Hence, it plays a vital role in the Indian economic scenario. In this context, an attempt has been made to forecast the area and production of cashew nut with a view to help the planners in recommending policies regarding cashew nut. Due to autocorrelation in the data, time series forecasting models such as ARIMA and exponential smoothing models were adopted. Detection and removal of 3 significant outliers, i.e. 1 for area under cashew nut and 2 in case of cashew nut production, were done before fitting the models. Holt’s model was found to have better forecasting ability with lowest RMSE value (1386.13) among the different models fitted for forecasting the area under cashew nut. From this model, area (ha) under cashew nut was forecasted to be 34492.10, 34974.81 and 35474.87 for the year 2018, 2019 and 2020, respectively. In case of cashew nut production, Brown’s linear trend model, with RMSE value (10020.19), was observed to have better forecasting ability among the tried models. Production of cashew nut (in tonnes) was forecasted to be 10230.20, 10996.81 and 11833.00 for the year 2018, 2019 and 2020, respectively.
{"title":"FORECASTING OF AREA AND PRODUCTION OF CASHEW NUT IN DAKSHINA KANNADA USING ARIMA AND EXPONENTIAL SMOOTHING MODELS","authors":"M. Chaithra, Pramit Pandit, Bishvajit Bakshi","doi":"10.13052/jrss2229-5666.1226","DOIUrl":"https://doi.org/10.13052/jrss2229-5666.1226","url":null,"abstract":"The cultivation and marketing of cashew nut involve a considerable amount of work force. Hence, it plays a vital role in the Indian economic scenario. In this context, an attempt has been made to forecast the area and production of cashew nut with a view to help the planners in recommending policies regarding cashew nut. Due to autocorrelation in the data, time series forecasting models such as ARIMA and exponential smoothing models were adopted. Detection and removal of 3 significant outliers, i.e. 1 for area under cashew nut and 2 in case of cashew nut production, were done before fitting the models. Holt’s model was found to have better forecasting ability with lowest RMSE value (1386.13) among the different models fitted for forecasting the area under cashew nut. From this model, area (ha) under cashew nut was forecasted to be 34492.10, 34974.81 and 35474.87 for the year 2018, 2019 and 2020, respectively. In case of cashew nut production, Brown’s linear trend model, with RMSE value (10020.19), was observed to have better forecasting ability among the tried models. Production of cashew nut (in tonnes) was forecasted to be 10230.20, 10996.81 and 11833.00 for the year 2018, 2019 and 2020, respectively. \u0000 ","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49054471","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 : 2019-09-18DOI: 10.13052/jrss2229-5666.1221
Aamir Raza, Muhmmad Noor-ul-Amin, M. Hanif
In this paper, a robust redescending M-estimator is used to construct the regression-inratio estimators to estimate population when data contain outliers. The expression of mean square error of proposed estimators is derived using Taylor series approximation up to order one. Extensive simulation study is conducted for the comparison between the proposed and existing class of ratio estimators. It is revealed form the results that proposed regression-in-ratio estimators have high relative efficiency (R.E) as compared to previously developed estimators. Practical examples are also cited to validate the performance of proposed estimators.
{"title":"REGRESSION-IN-RATIO ESTIMATORS IN THE PRESENCE OF OUTLIERS BASED ON REDESCENDINGM-ESTIMATOR","authors":"Aamir Raza, Muhmmad Noor-ul-Amin, M. Hanif","doi":"10.13052/jrss2229-5666.1221","DOIUrl":"https://doi.org/10.13052/jrss2229-5666.1221","url":null,"abstract":"In this paper, a robust redescending M-estimator is used to construct the regression-inratio estimators to estimate population when data contain outliers. The expression of mean square error of proposed estimators is derived using Taylor series approximation up to order one. Extensive simulation study is conducted for the comparison between the proposed and existing class of ratio estimators. It is revealed form the results that proposed regression-in-ratio estimators have high relative efficiency (R.E) as compared to previously developed estimators. Practical examples are also cited to validate the performance of proposed estimators. \u0000 ","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42818386","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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