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Regression-in-Ratio Estimators for Population Mean by Using Robust Regression in Two Phase Sampling 两阶段抽样稳健回归总体均值的比值回归估计
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2021-01-01 DOI: 10.13052/jrss0974-8024.1427
Aamir Raza, Muhammad Noor-ul-Amin
{"title":"Regression-in-Ratio Estimators for Population Mean by Using Robust Regression in Two Phase Sampling","authors":"Aamir Raza, Muhammad Noor-ul-Amin","doi":"10.13052/jrss0974-8024.1427","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1427","url":null,"abstract":"The estimation of population mean is not meaningful using ordinary least square method when data contains some outliers. In the current study, we proposed efficient estimators of population mean using robust regression in two phase sampling. An extensive simulation study is conduct to examine the efficiency of proposed estimators in terms of mean square error (MSE). Real life example and extensive simulation study are cited to demonstrate the performance of the proposed estimators. Theoretical example and simulation studies showed that the suggested estimators are more efficient than the considered estimators in the presence of outliers.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66117035","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}
引用次数: 0
Inference Based on Type-II Hybrid Censored Data from a Pareto Distribution 基于帕累托分布的II型混合截尾数据的推理
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2020-12-30 DOI: 10.13052/jrss0974-8024.13243
Çaǧatay Çetinkaya
{"title":"Inference Based on Type-II Hybrid Censored Data from a Pareto Distribution","authors":"Çaǧatay Çetinkaya","doi":"10.13052/jrss0974-8024.13243","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.13243","url":null,"abstract":"The Pareto distribution takes part in life-testing experiments as a finite range distribution. In this study, inference studies for the scale and shape parameters of the Pareto distribution under type-II hybrid censoring scheme are considered. The main reason for choosing this censoring scheme is its advantage of guaranteeing at least particular failures to be observed by the end of the experiment. Maximum likelihood and Bayes estimation methods are used with their approximate confidence intervals. Proposed estimation methods are compared numerically based on simulation studies. A numerical example is also used to illustrate the theoretical outcomes.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43750005","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}
引用次数: 1
Bayesian Estimation of Transmuted Weibull Distribution under Different Loss Functions 不同损失函数下变静音威布尔分布的贝叶斯估计
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2020-12-30 DOI: 10.13052/jrss0974-8024.13245
Rahila Yousaf, Sajid Ali, M. Aslam
{"title":"Bayesian Estimation of Transmuted Weibull Distribution under Different Loss Functions","authors":"Rahila Yousaf, Sajid Ali, M. Aslam","doi":"10.13052/jrss0974-8024.13245","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.13245","url":null,"abstract":"In this article, we aim to estimate the parameters of the transmuted Weibull distribution (TWD) using Bayesian approach, as the Weibull distribution plays an important role in reliability engineering and life testing problems. Informative and non-informative priors under squared error loss function (SELF), precautionary loss function (PLF) and quadratic loss function (QLF) are assumed to estimate the scale, the shape and the transmuted parameter of the TWD. In addition to this, we also compute the Bayesian credible intervals (BCIs). To estimate parameters, we adopt Markov Chain Monte Carlo (MCMC) technique assuming uncensored and censored environments in terms of different sample sizes and censoring rates. The posterior risks, associated with each estimator are used to compare the performance of different estimators. Two real data sets are analyzed to illustrate the flexibility of the proposed distribution.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46491081","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}
引用次数: 2
Bayes Estimation of the Reliability Function of Pareto Distribution Under Three Different Loss Functions 三种不同损失函数下Pareto分布可靠性函数的Bayes估计
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2020-10-28 DOI: 10.13052/0974-8024.1318
Gaurav Shukla, U. Chandra, Vinod Kumar
{"title":"Bayes Estimation of the Reliability Function of Pareto Distribution Under Three Different Loss Functions","authors":"Gaurav Shukla, U. Chandra, Vinod Kumar","doi":"10.13052/0974-8024.1318","DOIUrl":"https://doi.org/10.13052/0974-8024.1318","url":null,"abstract":"In this paper, we have proposed Bayes estimators of shape parameter of Pareto distribution as well as reliability function under SELF, QLF and APLF loss functions. For better understanding of Bayesian approach, we consider Jeffrey’s prior as non-informative prior, exponential and gamma priors as informative priors. The proposed estimators have been compared with Maximum likelihood estimator (MLE) and the uniformly minimum variance unbiased estimator (UMVUE). Moreover, the current study also derives the expressions for risk function under these three loss functions. The results obtained have been illustrated with the real as well as simulated data set.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48858816","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}
引用次数: 0
ON THE BAYESIAN ANALYSIS OF EXTENDED WEIBULL-GEOMETRIC DISTRIBUTION 扩展威布尔几何分布的贝叶斯分析
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2019-11-14 DOI: 10.13052/jrss2229-5666.12210
Azeem Ali, Sajid Ali, Shama Khaliq
{"title":"ON THE BAYESIAN ANALYSIS OF EXTENDED WEIBULL-GEOMETRIC DISTRIBUTION","authors":"Azeem Ali, Sajid Ali, Shama Khaliq","doi":"10.13052/jrss2229-5666.12210","DOIUrl":"https://doi.org/10.13052/jrss2229-5666.12210","url":null,"abstract":"The paper deals with the Bayes estimation of Extended Weibull-Geometric (EWG) distribution. In particular, we discuss Bayes estimators and their posterior risks using the noninformative and informative priors under different loss functions. Since the posterior summaries cannot be obtained analytically, we adopt Markov Chain Monte Carlo (MCMC) technique to assess the performance of Bayes estimates for different sample sizes. A real life example is also part of this study. \u0000 ","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43508576","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}
引用次数: 2
ON USE OF GAMMA DISTRIBUTION FOR EVALUATION OF RELIABILITY AND AVAILABILITY OF A SINGLE UNIT SYSTEM SUBJECT TO ARRIVAL TIME OF THE SERVER 用伽马分布评价受服务器到达时间影响的单单元系统的可靠性和可用性
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2019-11-14 DOI: 10.13052/jrss2229-5666.1228
N. Nandal, S. Malik
{"title":"ON USE OF GAMMA DISTRIBUTION FOR EVALUATION OF RELIABILITY AND AVAILABILITY OF A SINGLE UNIT SYSTEM SUBJECT TO ARRIVAL TIME OF THE SERVER","authors":"N. Nandal, S. Malik","doi":"10.13052/jrss2229-5666.1228","DOIUrl":"https://doi.org/10.13052/jrss2229-5666.1228","url":null,"abstract":"The preference to the use of single unit systems over the redundant systems has been given due to their intrinsic reliability and affordability. And, stochastic modeling of repairable systems of one or more unit has been done by assuming negative exponential distribution for failure and repair times. In fact, the repairable systems may or may not have constant failure and repair rates. In such situations some other distributions possessing monotonic nature of the random variables associated with different time points may be considered. Gamma distribution is one of the distributions that may offer a good fit to some set of failure data. Also, negative exponential distribution is a special case of this distribution. Hence, in this paper reliability and availability of a single unit system by considering Gamma distribution for the random variables associated with failure and repair times of the system have been evaluated. A single server is employed to carry out the repair activities. The server is allowed to take some time to arrive at the system (called arrival time). The system has all the transit points as regenerative and so regenerative point has been used to derive the expressions for reliability measures. The values of reliability and availability are obtained for particular situations of the parameters. The behavior of these measures has been observed for the arbitrary values of the parameters. \u0000 ","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42330183","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}
引用次数: 0
ESTIMATION OF PARAMETERS FOR THE LIFETIME DISTRIBUTIONS 寿命分布参数的估计
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2019-11-07 DOI: 10.13052/jrss2229-5666.1227
Tabasam Sultana, Faqir Muhammad, M. Aslam
{"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}
引用次数: 1
AN OPTIMIZATION OF FEOQ MODEL FOR WEIBULL DETERIORATING ITEMS WITH INFLATIONARY CONDITION 通货膨胀条件下WEIBULL恶化项目的FEOQ模型优化
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2019-10-22 DOI: 10.13052/jrss2229-5666.1224
Anu Sayal, A. Singh, Deepak Aggarwal
{"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}
引用次数: 1
MODELS FOR ANALYZING OVER-DISPERSED HURDLE NEGATIVE BINOMIAL REGRESSION MODEL: AN APPLICATION TO MANUFACTURED CIGARETTE USE 过分散障碍负二项回归模型的分析模型:在成品卷烟使用中的应用
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2019-10-13 DOI: 10.13052/jrss2229-5666.1225
Sujan Rudra, S. Biswas
{"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}
引用次数: 1
LITERATE LIFE EXPECTANCY AND ITS GENDER DIFFERENTIALS IN OMAN 阿曼的识字预期寿命及其性别差异
IF 0.8
Journal of Reliability and Statistical Studies Pub Date : 2019-10-12 DOI: 10.13052/jrss2229-5666.1223
M. Islam, M. H. R. Khan
{"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}
引用次数: 2
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