1
|
Gao Y, Tian L. Confidence interval estimation for the difference and ratio of the means of two gamma distributions. COMMUN STAT-SIMUL C 2022. [DOI: 10.1080/03610918.2022.2116646] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- Yi Gao
- Department of Biostatistics, University at Buffalo, Buffalo, NY, USA
| | - Lili Tian
- Department of Biostatistics, University at Buffalo, Buffalo, NY, USA
| |
Collapse
|
2
|
Yan L. Confidence interval estimation of the common mean of several gamma populations. PLoS One 2022; 17:e0269971. [PMID: 35714130 PMCID: PMC9205481 DOI: 10.1371/journal.pone.0269971] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/20/2021] [Accepted: 06/01/2022] [Indexed: 11/18/2022] Open
Abstract
Gamma distributions are widely used in applied fields due to its flexibility of accommodating right-skewed data. Although inference methods for a single gamma mean have been well studied, research on the common mean of several gamma populations are sparse. This paper addresses the problem of confidence interval estimation of the common mean of several gamma populations using the concept of generalized inference and the method of variance estimates recovery (MOVER). Simulation studies demonstrate that several proposed approaches can provide confidence intervals with satisfying coverage probabilities even at small sample sizes. The proposed methods are illustrated using two examples.
Collapse
Affiliation(s)
- Li Yan
- Department of Biostatistics and Bioinformatics, Roswell Park Comprehensive Cancer Center, Buffalo, NY, United States of America
| |
Collapse
|
3
|
Krishnamoorthy K, Lv S, Murshed MM. Combining independent tests for a common parameter of several continuous distributions: a new test and power comparisons. COMMUN STAT-SIMUL C 2022. [DOI: 10.1080/03610918.2022.2058546] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- K. Krishnamoorthy
- Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA
| | - Shanshan Lv
- Department of Statistics, Truman State University, Kirksville, MO, USA
| | - Md Monzur Murshed
- Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA
| |
Collapse
|
4
|
Gao Y, Tian L. Interval estimation for the difference of two correlated gamma means: a generalized inference method and hybrid methods. J STAT COMPUT SIM 2022. [DOI: 10.1080/00949655.2022.2046747] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Yi Gao
- Department of Biostatistics, University at Buffalo, Buffalo, NY, USA
| | - Lili Tian
- Department of Biostatistics, University at Buffalo, Buffalo, NY, USA
| |
Collapse
|
5
|
Abbas S, Mohsin M, Pilz J. A new life time distribution with applications in reliability and environmental sciences. JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS 2021. [DOI: 10.1080/09720510.2019.1700890] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Salman Abbas
- Department of Statistics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
| | - Muhammad Mohsin
- Department of Statistics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
| | - Jürgen Pilz
- Department of Statistics, Alpen-Adria University, Klagenfurt 9020, Austria
| |
Collapse
|
6
|
Xiong P, Zhuang W, Qiu G. Testing exponentiality based on the extropy of record values. J Appl Stat 2020; 49:782-802. [DOI: 10.1080/02664763.2020.1840535] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Peihan Xiong
- Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, People's Republic of China
| | - Weiwei Zhuang
- Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, People's Republic of China
| | - Guoxin Qiu
- Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, People's Republic of China
- Department of Business Administration, School of Business, Xinhua University of Anhui, Hefei, People's Republic of China
| |
Collapse
|
7
|
Saulo H, Bourguignon M, Zhu X, Balakrishnan N. Some simple estimators for the two-parameter gamma distribution. COMMUN STAT-SIMUL C 2019. [DOI: 10.1080/03610918.2018.1457693] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Affiliation(s)
- Helton Saulo
- Departamento de Estatística, Universidade de Brasília, DF, Brazil
- Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada
| | - Marcelo Bourguignon
- Departamento de Estatística, Universidade Federal do Rio Grande do Norte, Natal, RN, Brazil
| | - Xiaojun Zhu
- Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, Suzhou, Jiangsu, P.R. China
| | - N. Balakrishnan
- Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada
| |
Collapse
|
8
|
Affiliation(s)
- Aamir Saghir
- Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur, Pakistan
| | - Liaquat Ahmad
- Department of Statistics and Computer Science, University of Veterinary & Animal Sciences, Lahore, Pakistan
| | - Muhammad Aslam
- Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
| |
Collapse
|
9
|
Marange CS, Qin Y. A moment-based empirical likelihood ratio test for exponentiality using the probability integral transformation. J Appl Stat 2019. [DOI: 10.1080/02664763.2019.1614542] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- C. S. Marange
- Department of Statistics, Faculty of Science and Agriculture, Fort Hare University, Alice, South Africa
| | - Y. Qin
- Department of Statistics, Faculty of Science and Agriculture, Fort Hare University, Alice, South Africa
| |
Collapse
|
10
|
Monitoring the Process Based on Belief Statistic for Neutrosophic Gamma Distributed Product. Processes (Basel) 2019. [DOI: 10.3390/pr7040209] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
In this paper, we developed a control chart methodology for the monitoring the mean time between two events using the belief estimator under the neutrosophic gamma distribution. The proposed control chart coefficients and the neutrosophic average run length (NARL) have been determined using different process settings. The performance of the proposed chart is compared with the control chart under classical statistics in terms of NARL using the simulation data and real example. From comparisons, it is concluded that the proposed chart is efficient, effective and adequate to be used under uncertainty environment than the chart under classical statistics.
Collapse
|
11
|
Affiliation(s)
- Bing Xing Wang
- Department of Statistics, Zhejiang Gongshang University, Hangzhou, China
| | - Fangtao Wu
- Department of Statistics, Zhejiang Gongshang University, Hangzhou, China
| |
Collapse
|
12
|
Xie Y, Hong Y, Escobar LA, Meeker WQ. A general algorithm for computing simultaneous prediction intervals for the (log)-location-scale family of distributions. J STAT COMPUT SIM 2017. [DOI: 10.1080/00949655.2016.1277426] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Yimeng Xie
- Department of Statistics, Virginia Tech, Blacksburg, VA, USA
| | - Yili Hong
- Department of Statistics, Virginia Tech, Blacksburg, VA, USA
| | - Luis A. Escobar
- Department of Experimental Statistics, Louisiana State University, Baton Rouge, LA, USA
| | - William Q. Meeker
- Department of Statistics, Center for Nondestructive Evaluation, Iowa State University, Ames, IA, USA
| |
Collapse
|
13
|
Bhaumik DK, Kapur K, Balakrishnan N, Keating JP, Gibbons RD. Small Sample Tests for Shape Parameters of Gamma Distributions. COMMUN STAT-SIMUL C 2014. [DOI: 10.1080/03610918.2013.818692] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
|
14
|
Panahi H, Sayyareh A. Parameter estimation and prediction of order statistics for the Burr Type XII distribution with Type II censoring. J Appl Stat 2013. [DOI: 10.1080/02664763.2013.838668] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
|
15
|
|
16
|
Confidence Limits for Lognormal Percentiles and for Lognormal Mean Based on Samples with Multiple Detection Limits. ANNALS OF OCCUPATIONAL HYGIENE 2011; 55:495-509. [DOI: 10.1093/annhyg/mer014] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
|
17
|
A Simple Normal Approximation for Weibull Distribution with Application to Estimation of Upper Prediction Limit. JOURNAL OF PROBABILITY AND STATISTICS 2011. [DOI: 10.1155/2011/863274] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
We propose a simple close-to-normal approximation to a Weibull random variable (r.v.) and consider the problem of estimation of upper prediction limit (UPL) that includes at leastlout ofmfuture observations from a Weibull distribution at each ofrlocations, based on the proposed approximation and the well-known Box-Cox normal approximation. A comparative study based on Monte Carlo simulations revealed that the normal approximation-based UPLs for Weibull distribution outperform those based on the existing generalized variable (GV) approach. The normal approximation-based UPLs have markedly larger coverage probabilities than GV approach, particularly for small unknown shape parameter where the distribution is highly skewed, and for small sample sizes which are commonly encountered in industrial applications. Results are illustrated with a real dataset for practitioners.
Collapse
|
18
|
Krishnamoorthy K, Lin Y, Xia Y. Confidence limits and prediction limits for a Weibull distribution based on the generalized variable approach. J Stat Plan Inference 2009. [DOI: 10.1016/j.jspi.2008.12.010] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
|
19
|
Bhaumik DK, Kapur K, Gibbons RD. Testing Parameters of a Gamma Distribution for Small Samples. Technometrics 2009. [DOI: 10.1198/tech.2009.07038] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
20
|
|