The single-parameter “Bell distribution” for discrete data allows for over-dispersion in the data. The maximum likelihood estimator for its parameter is downward-biased in finite samples. We consider various methods for reducing this bias. A simulation study shows that these are effective and also lead to a small improvement in the mean squared error of the estimator. The Cox-Snell correction is the recommended. choice among the options that are considered.
{"title":"The Performance of the Maximum Likelihood Estimator for the Bell Distribution for Count Data","authors":"David E. Giles","doi":"10.56801/jmasm.v23.i2.3","DOIUrl":"https://doi.org/10.56801/jmasm.v23.i2.3","url":null,"abstract":"The single-parameter “Bell distribution” for discrete data allows for over-dispersion in the data. The maximum likelihood estimator for its parameter is downward-biased in finite samples. We consider various methods for reducing this bias. A simulation study shows that these are effective and also lead to a small improvement in the mean squared error of the estimator. The Cox-Snell correction is the recommended. choice among the options that are considered.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"67 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140513242","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}
The estimation accuracy of estimators of finite population parameters in sample surveys can be enhanced by taking advantage of existing auxiliary information using the calibration approach. The present study developed the calibration estimators of population mean utilizing known auxiliary information. The properties of the recommended estimators have been studied. The performance of the suggested estimators has also been investigated with the help of a simulation study and compared with the estimators given by Clement [2] and Khare et al. [11].
{"title":"Proportionality Adjusted Ratio-Type Calibration Estimators of Population Mean Under Stratified Sampling","authors":"Neha Garg, Ambika C, Menakshi Pachori","doi":"10.56801/jmasm.v23.i2.1","DOIUrl":"https://doi.org/10.56801/jmasm.v23.i2.1","url":null,"abstract":"The estimation accuracy of estimators of finite population parameters in sample surveys can be enhanced by taking advantage of existing auxiliary information using the calibration approach. The present study developed the calibration estimators of population mean utilizing known auxiliary information. The properties of the recommended estimators have been studied. The performance of the suggested estimators has also been investigated with the help of a simulation study and compared with the estimators given by Clement [2] and Khare et al. [11].","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140514813","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}
In this paper we have obtained explicit expressions for single and product moments of upper record values from Rayleigh Lomax distribution. Also, recursive relationships between moments of upper records are developed. The characterization theorems based on recurrence relations and conditional expectation are also presented.
{"title":"Moment Properties of Record Values from Rayleigh Lomax Distribution and Characterization","authors":"None Haseeb Athar, None Mohamad A. Fawzy","doi":"10.56801/jmasm.v22.i2.3","DOIUrl":"https://doi.org/10.56801/jmasm.v22.i2.3","url":null,"abstract":"In this paper we have obtained explicit expressions for single and product moments of upper record values from Rayleigh Lomax distribution. Also, recursive relationships between moments of upper records are developed. The characterization theorems based on recurrence relations and conditional expectation are also presented.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135665733","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}
The challenges bedeviling the performance of estimators of population parameters in survey samples as a result of measurement and nonresponse errors are of great concern to researchers and users of statistics. This study suggests new estimators and adopts the calibration approach in smoothing the existing and proposed estimators for optimal performance. We have proposed improved estimators for estimating the finite population mean under stratified random sampling in three different situations: first, the properties of the estimators are considered under nonresponse, then the study of the estimators for measurement errors and in the last case, the estimators are examined in the presence of both measurement and nonresponse errors simultaneously. Expressions for mean square errors are obtained for the suggested estimators. Empirical study has been carried out with two real datasets to validate the theoretical underpinnings of this study.
{"title":"Smoothing of Estimators of Population mean using Calibration Technique with Sample Errors","authors":"None Matthew Iseh, None Mbuotidem Bassey","doi":"10.56801/jmasm.v23.i1.2","DOIUrl":"https://doi.org/10.56801/jmasm.v23.i1.2","url":null,"abstract":"The challenges bedeviling the performance of estimators of population parameters in survey samples as a result of measurement and nonresponse errors are of great concern to researchers and users of statistics. This study suggests new estimators and adopts the calibration approach in smoothing the existing and proposed estimators for optimal performance. We have proposed improved estimators for estimating the finite population mean under stratified random sampling in three different situations: first, the properties of the estimators are considered under nonresponse, then the study of the estimators for measurement errors and in the last case, the estimators are examined in the presence of both measurement and nonresponse errors simultaneously. Expressions for mean square errors are obtained for the suggested estimators. Empirical study has been carried out with two real datasets to validate the theoretical underpinnings of this study.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135943731","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}
This article discusses the problem of estimating the unknown model parameters as well as prediction of future observations from inverse power Maxwell distribution. The maximum likelihood method is applied for estimating the model parameters using Newton-Rapson iterative procedures. The existence and uniqueness of maximum likelihood estimates are established using Cauchy-Schwartz inequality. Approximate confidence intervals are constructed using Fisher information matrix. Using independent gamma informative priors, the Bayes estimates of unknown model parameters are obtained under squared error and Linex loss functions. Two approximation techniques namely: Lindley’s approximation and Metropolis-Hastings within Gibbs sampler algorithm have been employed to derive the Bayes estimators and also to construct the associate highest posterior density credible intervals. Based on the informative (observed) sample, Bayesian prediction, predictive density, and predictive intervals are derived for future observation and decision. The performance of proposed methods are evaluated though a Monte Carlo simulation experiment. Two real-life datasets related to tax revenue and heath are incorporated to show the practical utility of proposed methodology in real phenomenon.
本文讨论了从功率逆麦克斯韦分布估计未知模型参数和预测未来观测值的问题。采用Newton-Rapson迭代法对模型参数进行了极大似然估计。利用Cauchy-Schwartz不等式建立了极大似然估计的存在唯一性。利用Fisher信息矩阵构造近似置信区间。利用独立的伽马信息先验，在平方误差和Linex损失函数下获得未知模型参数的贝叶斯估计。两种近似技术，即Lindley近似和Metropolis-Hastings within Gibbs采样器算法，被用来推导贝叶斯估计量和构造相关的最高后验密度可信区间。基于信息(观察到的)样本，导出贝叶斯预测、预测密度和预测区间，用于未来的观察和决策。通过蒙特卡罗仿真实验对所提方法的性能进行了评价。结合两个与税收和健康相关的现实数据集，以显示所提出的方法在现实现象中的实际效用。
{"title":"Bayesian Estimation and Prediction for Inverse Power Maxwell Distribution with Applications to Tax Revenue and Health Care Data","authors":"None Mohd Irfan, None A. K. Sharma","doi":"10.56801/jmasm.v23.i1.1","DOIUrl":"https://doi.org/10.56801/jmasm.v23.i1.1","url":null,"abstract":"This article discusses the problem of estimating the unknown model parameters as well as prediction of future observations from inverse power Maxwell distribution. The maximum likelihood method is applied for estimating the model parameters using Newton-Rapson iterative procedures. The existence and uniqueness of maximum likelihood estimates are established using Cauchy-Schwartz inequality. Approximate confidence intervals are constructed using Fisher information matrix. Using independent gamma informative priors, the Bayes estimates of unknown model parameters are obtained under squared error and Linex loss functions. Two approximation techniques namely: Lindley’s approximation and Metropolis-Hastings within Gibbs sampler algorithm have been employed to derive the Bayes estimators and also to construct the associate highest posterior density credible intervals. Based on the informative (observed) sample, Bayesian prediction, predictive density, and predictive intervals are derived for future observation and decision. The performance of proposed methods are evaluated though a Monte Carlo simulation experiment. Two real-life datasets related to tax revenue and heath are incorporated to show the practical utility of proposed methodology in real phenomenon.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135943736","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}
None Neha Garg, None Housila P. Singh, None Menakshi Pachori
In this paper, the problem of estimation of finite population mean in stratified random sampling is considered. Two improved exponential logarithmic type calibration estimators for finite population mean have been proposed for stratified random sampling when auxiliary information related to variable under study is available for each stratum. To judge the performance of the proposed estimators, a simulation study has been carried out in R-software using two datasets, one real and another one artificial generated population. The proposed estimators have also been compared with the estimators developed by Bahl and Tuteja [1] and Singh [17] in case of stratified random sampling.
{"title":"Modified Exponential Ratio-Type Estimator of Population Mean in Stratified Sampling using Calibration Approach","authors":"None Neha Garg, None Housila P. Singh, None Menakshi Pachori","doi":"10.56801/jmasm.v23.i1.3","DOIUrl":"https://doi.org/10.56801/jmasm.v23.i1.3","url":null,"abstract":"In this paper, the problem of estimation of finite population mean in stratified random sampling is considered. Two improved exponential logarithmic type calibration estimators for finite population mean have been proposed for stratified random sampling when auxiliary information related to variable under study is available for each stratum. To judge the performance of the proposed estimators, a simulation study has been carried out in R-software using two datasets, one real and another one artificial generated population. The proposed estimators have also been compared with the estimators developed by Bahl and Tuteja [1] and Singh [17] in case of stratified random sampling.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136183072","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}
B. S. Rao, B. Vara, P. Rao, V. R. B. Suseela, B. Srinivasa, Rao B. Vara
The probability model of a quality characteristic is assumed to follow the exponentiated inverted weibull distribution. The technique of analysis of means for a skewed population is applied with respect to exponentiated inverted weibull distribution. The subgroup means are used to develop control charts to assess whether the population from which these subgroups are drawn is operating with admissible quality variations. The results are illustrated by examples on live data.
{"title":"Analysis of Means Based on Exponentiated Inverted Weibull Distribution","authors":"B. S. Rao, B. Vara, P. Rao, V. R. B. Suseela, B. Srinivasa, Rao B. Vara","doi":"10.56801/jmasm.v22.i2.1","DOIUrl":"https://doi.org/10.56801/jmasm.v22.i2.1","url":null,"abstract":"The probability model of a quality characteristic is assumed to follow the exponentiated inverted weibull distribution. The technique of analysis of means for a skewed population is applied with respect to exponentiated inverted weibull distribution. The subgroup means are used to develop control charts to assess whether the population from which these subgroups are drawn is operating with admissible quality variations. The results are illustrated by examples on live data.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"48 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139359532","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 : 2023-06-20eCollection Date: 2023-07-01DOI: 10.1093/haschl/qxad010
Kathryn A Phillips, Deborah A Marshall, Loren Adler, Jose Figueroa, Simon F Haeder, Rita Hamad, Inmaculada Hernandez, Corrina Moucheraud, Sayeh Nikpay
Health policies and associated research initiatives are constantly evolving and changing. In recent years, there has been a dizzying increase in research on emerging topics such as the implications of changing public and private health payment models, the global impact of pandemics, novel initiatives to tackle the persistence of health inequities, broad efforts to reduce the impact of climate change, the emergence of novel technologies such as whole-genome sequencing and artificial intelligence, and the increase in consumer-directed care. This evolution demands future-thinking research to meet the needs of policymakers in translating science into policy. In this paper, the Health Affairs Scholar editorial team describes "ten health policy challenges for the next 10 years." Each of the ten assertions describes the challenges and steps that can be taken to address those challenges. We focus on issues that are traditionally studied by health services researchers such as cost, access, and quality, but then examine emerging and intersectional topics: equity, income, and justice; technology, pharmaceuticals, markets, and innovation; population health; and global health.
{"title":"Ten health policy challenges for the next 10 years.","authors":"Kathryn A Phillips, Deborah A Marshall, Loren Adler, Jose Figueroa, Simon F Haeder, Rita Hamad, Inmaculada Hernandez, Corrina Moucheraud, Sayeh Nikpay","doi":"10.1093/haschl/qxad010","DOIUrl":"10.1093/haschl/qxad010","url":null,"abstract":"<p><p>Health policies and associated research initiatives are constantly evolving and changing. In recent years, there has been a dizzying increase in research on emerging topics such as the implications of changing public and private health payment models, the global impact of pandemics, novel initiatives to tackle the persistence of health inequities, broad efforts to reduce the impact of climate change, the emergence of novel technologies such as whole-genome sequencing and artificial intelligence, and the increase in consumer-directed care. This evolution demands future-thinking research to meet the needs of policymakers in translating science into policy. In this paper, the <i>Health Affairs Scholar</i> editorial team describes \"ten health policy challenges for the next 10 years.\" Each of the ten assertions describes the challenges and steps that can be taken to address those challenges. We focus on issues that are traditionally studied by health services researchers such as cost, access, and quality, but then examine emerging and intersectional topics: equity, income, and justice; technology, pharmaceuticals, markets, and innovation; population health; and global health.</p>","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"5 1","pages":"qxad010"},"PeriodicalIF":0.0,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10986244/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90248044","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-24DOI: 10.22237/jmasm/1680307200
Narinder Kumar, Arun Kumar
A class of distribution-free tests for the homogeneity of location parameters is proposed and compared with different competitors in terms of Pitman asymptotic relative efficiency. A numerical example is provided and a simulation study is made to check the performance of the tests.
{"title":"Two Sample Statistical Test for Location Parameters","authors":"Narinder Kumar, Arun Kumar","doi":"10.22237/jmasm/1680307200","DOIUrl":"https://doi.org/10.22237/jmasm/1680307200","url":null,"abstract":"A class of distribution-free tests for the homogeneity of location parameters is proposed and compared with different competitors in terms of Pitman asymptotic relative efficiency. A numerical example is provided and a simulation study is made to check the performance of the tests.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48062278","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}
For the case of simple random sampling, we are introducing a new regression estimator for the population mean with the supporting values of two auxiliary variables. The results for the mean square error (MSE) of the new form of regression estimator is fined. The mean square error’s results have also been checked through numerical illustration. It is observed that our introduced estimator is having less mean square error than the traditional ratio and regression estimator for two auxiliary variables.
{"title":"An Improvement in Regression Estimator Through Exponential Estimator using Two Auxiliary Variables","authors":"None Sachin Malik, None Kanika, None Atul","doi":"10.56801/jmasm.v22.i1.1","DOIUrl":"https://doi.org/10.56801/jmasm.v22.i1.1","url":null,"abstract":"For the case of simple random sampling, we are introducing a new regression estimator for the population mean with the supporting values of two auxiliary variables. The results for the mean square error (MSE) of the new form of regression estimator is fined. The mean square error’s results have also been checked through numerical illustration. It is observed that our introduced estimator is having less mean square error than the traditional ratio and regression estimator for two auxiliary variables.","PeriodicalId":47201,"journal":{"name":"Journal of Modern Applied Statistical Methods","volume":"416 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135423461","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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