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Journal of Statistical Research of Iran最新文献

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On the Simple Inverse Sampling with Replacement 关于带替换的简单逆采样
Journal of Statistical Research of Iran Pub Date : 2015-03-15 DOI: 10.18869/ACADPUB.JSRI.11.2.191
M. Mohammadi
{"title":"On the Simple Inverse Sampling with Replacement","authors":"M. Mohammadi","doi":"10.18869/ACADPUB.JSRI.11.2.191","DOIUrl":"https://doi.org/10.18869/ACADPUB.JSRI.11.2.191","url":null,"abstract":"In this paper we derive some unbiased estimators of the population mean under simple inverse sampling with replacement, using the class of Hansen-Hurwitz and Horvitz-Thompson type estimators and the poststratification approach. We also compare the efficiency of resulting estimators together with Murthy’s estimator. We show that in despite of general belief, the strategy consisting of inverse sampling with Murthy’s estimator is highly less efficient when the target population is rare, whereas it can be more efficient when subpopulation means are closed. In fact, for inverse sampling to be highly efficient design one should know the population structure and then use an appropriate estimator.","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124246424","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
توزیع نرمال چولهی تعمیمیافتهی انعطافپذیر
Journal of Statistical Research of Iran Pub Date : 2015-03-15 DOI: 10.18869/ACADPUB.JSRI.11.2.131
وهاب بهرامی, احسان قاسمی
{"title":"توزیع نرمال چولهی تعمیمیافتهی انعطافپذیر","authors":"وهاب بهرامی, احسان قاسمی","doi":"10.18869/ACADPUB.JSRI.11.2.131","DOIUrl":"https://doi.org/10.18869/ACADPUB.JSRI.11.2.131","url":null,"abstract":"In this paper, we consider a flexible skew-generalized normal distribution. This distribution is denoted by FSGN(λ1, λ2; θ). It contains the normal, skew-normal (Azzalini, 1985), skew generalized normal (ArellanoValle et al., 2004) and skew flexible-normal (Gomez et al., 2011) distributions as special cases. Some important properties of this distribution are established. Also, the practical usefulness of FSGN is illustrated via a well known real data set.","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127911491","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
Some Statistical Inferences on the Parameters of Records Weibull Distribution Using Entropy 利用熵对记录威布尔分布参数的统计推断
Journal of Statistical Research of Iran Pub Date : 2015-03-15 DOI: 10.18869/ACADPUB.JSRI.11.2.177
G. Yari, R. Rezaei
{"title":"Some Statistical Inferences on the Parameters of Records Weibull Distribution Using Entropy","authors":"G. Yari, R. Rezaei","doi":"10.18869/ACADPUB.JSRI.11.2.177","DOIUrl":"https://doi.org/10.18869/ACADPUB.JSRI.11.2.177","url":null,"abstract":"In this paper, we discuss different estimators of the records Weibull distribution parameters and also we apply the Kullback-Leibler divergence of survival function method to estimate record Weibull parameters. Finally, these estimators have been compared using Monte Carlo simulation and suggested good estimators.","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"46 8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133931471","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
Characterizations of New Modified Weibull Distribution 新修正威布尔分布的表征
Journal of Statistical Research of Iran Pub Date : 2015-03-01 DOI: 10.18869/ACADPUB.JSRI.11.2.223
G. Hamedani
{"title":"Characterizations of New Modified Weibull Distribution","authors":"G. Hamedani","doi":"10.18869/ACADPUB.JSRI.11.2.223","DOIUrl":"https://doi.org/10.18869/ACADPUB.JSRI.11.2.223","url":null,"abstract":"Several characterizations of a New Modified Weibull distribution, introduced by Doostmoradi et al. (2014), are presented. These characterizations are based on: (i) truncated moment of a function of the random variable; (ii) the hazard function; (iii) a single function of the random variable; (iv) truncated moment of certain function of the 1st order statistic.","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122307537","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
A New Modified Weibull Distribution and Its Applications 一种新的修正威布尔分布及其应用
Journal of Statistical Research of Iran Pub Date : 2014-09-15 DOI: 10.18869/ACADPUB.JSRI.11.1.97
A. Doostmoradi, M. Zadkarami, A. R. Sheykhabad
{"title":"A New Modified Weibull Distribution and Its Applications","authors":"A. Doostmoradi, M. Zadkarami, A. R. Sheykhabad","doi":"10.18869/ACADPUB.JSRI.11.1.97","DOIUrl":"https://doi.org/10.18869/ACADPUB.JSRI.11.1.97","url":null,"abstract":"In this paper we introduce a four-parameter generalized Weibull distribution. This new distribution has a more general form of failure rate function. It is more general for modeling than six ageing classes of life dis- tributions with appropriate choices of parameter values, so it can display decreasing, increasing, bathtub shaped, unimodal, increasing-decreasing in- creasing and decreasing-increasing-decreasing failure rates. The new distri- bution has also a bimodal density function. The moments are obtained and the method of maximum likelihood is used to estimate the model parame- ters. Also, the observed information matrix is obtained. Two applications are presented to illustrate the advantage of the proposed distribution.","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"172 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133875164","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: 15
Pitman-closeness of preliminary test and some classical estimators based on records from two-parameter exponential distribution 初步检验的pitman -close及基于双参数指数分布记录的经典估计
Journal of Statistical Research of Iran Pub Date : 2014-09-15 DOI: 10.18869/ACADPUB.JSRI.11.1.73
E. Mirfarah, J. Ahmadi
{"title":"Pitman-closeness of preliminary test and some classical estimators based on records from two-parameter exponential distribution","authors":"E. Mirfarah, J. Ahmadi","doi":"10.18869/ACADPUB.JSRI.11.1.73","DOIUrl":"https://doi.org/10.18869/ACADPUB.JSRI.11.1.73","url":null,"abstract":"In this paper, we study the performance of estimators of parameters of two-parameter exponential distribution based on upper records. The generalized likelihood ratio (GLR) test was used to generate preliminary test estimator (PTE) for both parameters. We have compared the proposed estimator with maximum likelihood (ML) and unbiased estimators (UE) under mean-squared error (MSE) and Pitman measure of closeness (PMC). Analytical as well as graphical methods are used to show the range of parameter in which PTE performs better than ML and UE. Results demonstrate that in the case of that prior information is not too far from its real value, the PTE is superior in compare with ML and UE based on both MSE and PMC criteria. The results of the paper will be useful in estimation with record data in life testing experiments.","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128015224","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: 7
On the Reversed Average Intensity Order 在反平均强度顺序上
Journal of Statistical Research of Iran Pub Date : 2014-09-15 DOI: 10.18869/ACADPUB.JSRI.11.1.25
M. Rezaei, V. A. Khalaf
{"title":"On the Reversed Average Intensity Order","authors":"M. Rezaei, V. A. Khalaf","doi":"10.18869/ACADPUB.JSRI.11.1.25","DOIUrl":"https://doi.org/10.18869/ACADPUB.JSRI.11.1.25","url":null,"abstract":"Based on the increasing property of ratio of average reversed hazard rates of two non-negative random variables a new stochastic order for the sake of comparison of two lifetime distributions is proposed. This stochastic order admits some distinguishing properties. In order to illustrate the obtained results, a semi-parametric model which is called reverse hazard power and a mixture model of proportional reversed hazards are taken into account. Some examples are given to explain some facts.","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"40 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114016730","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: 5
Tsallis Maximum Entropy Lorenz Curves 最大熵洛伦兹曲线
Journal of Statistical Research of Iran Pub Date : 2014-09-01 DOI: 10.18869/ACADPUB.JSRI.11.1.41
M. Y. A. Riabi, G. M. Borzadaran, G. Yari
{"title":"Tsallis Maximum Entropy Lorenz Curves","authors":"M. Y. A. Riabi, G. M. Borzadaran, G. Yari","doi":"10.18869/ACADPUB.JSRI.11.1.41","DOIUrl":"https://doi.org/10.18869/ACADPUB.JSRI.11.1.41","url":null,"abstract":"In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as β tends to one. Finally, by using actual data, we compare the maximum Tsallis entropy Lorenz curve with some parametric Lorenz curves.","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115636978","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: 3
The Ratio-type Estimators of Variance with Minimum Average Square Error 最小均方误差的比值型方差估计
Journal of Statistical Research of Iran Pub Date : 2014-09-01 DOI: 10.18869/acadpub.jsri.11.1.57
M. R. Faghihi
{"title":"The Ratio-type Estimators of Variance with Minimum Average Square Error","authors":"M. R. Faghihi","doi":"10.18869/acadpub.jsri.11.1.57","DOIUrl":"https://doi.org/10.18869/acadpub.jsri.11.1.57","url":null,"abstract":"The ratio-type estimators have been introduced for estimating the mean and total population, but in recent years based on the ratio methods several estimators for population variance have been proposed. In this paper two families of estimators have been suggested and their approximation mean square error (MSE) have been developed. In addition, the efficiency of these variance estimators are compared. We also show that their performance is better than traditional ratio estimator. Finally, a computational approach to find the optimum values of parameters is introduced and by using rice fields data of Amol county of Iran, an empirical study is carried out to show that this approach is the best. In this manner, since the values of estimators MSE are approximated, to obtain the approximately unbiased estimator with minimum variance, average square error (ASE) is used.","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127827640","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
A Comparative Study of Performance of Adaptive Web Sampling and General Inverse Adaptive Sampling in Estimating Olive Production in Iran 自适应网抽样与一般逆自适应抽样在伊朗橄榄产量估算中的性能比较研究
Journal of Statistical Research of Iran Pub Date : 2014-09-01 DOI: 10.18869/ACADPUB.JSRI.11.1.1
A. Afshar, H. Navvabpour
{"title":"A Comparative Study of Performance of Adaptive Web Sampling and General Inverse Adaptive Sampling in Estimating Olive Production in Iran","authors":"A. Afshar, H. Navvabpour","doi":"10.18869/ACADPUB.JSRI.11.1.1","DOIUrl":"https://doi.org/10.18869/ACADPUB.JSRI.11.1.1","url":null,"abstract":"","PeriodicalId":422124,"journal":{"name":"Journal of Statistical Research of Iran","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131148637","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
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