Testing exponentiality for imprecise data and its application

被引：4
作者：
Zendehdel, J. [1 ]
Rezaei, M. [1 ]
Akbari, M. G. [1 ]
Zarei, R. [2 ]
Noughabi, H. Alizadeh [1 ]
机构：
[1] Univ Birjand, Fac Math & Stat, Dept Stat, Birjand, Iran
[2] Univ Guilan, Fac Math Sci, Dept Stat, Guilan, Iran
来源：
SOFT COMPUTING | 2018年 / 22卷 / 10期
关键词：
Goodness-of-fit test; Exponential distribution; Fuzzy data set; alpha-Pessimistic; Monte Carlo simulation; MARKOVIAN JUMP SYSTEMS; FUZZY RANDOM-VARIABLES; OF-FIT TESTS; STATISTICAL HYPOTHESES;
D O I：
10.1007/s00500-017-2566-y
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The goodness-of-fit test for a given data set is an important problem in statistical inference and its applications. In this paper, we consider this problem for the exponential distribution which is widely used in the various areas under fuzzy environment. To this end, we need an approach that the most commonly used tests in statistics such as Kolmogorov-Smirnov and Anderson-Darling are made usable for fuzzy data set. For this purpose, we use the alpha-pessimistic technique and Monte Carlo simulation method.
引用
收藏
页码：3301 / 3312
页数：12
相关论文
共 50 条
  • [21] A wide review on exponentiality tests and two competitive proposals with application on reliability
    Torabi, Hamzeh
    Montazeri, Narges H.
    Grane, Aurea
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2018, 88 (01) : 108 - 139
  • [22] Simulation Methodology for Financial Assets with Imprecise Data
    Tichy, Tomas
    Holcapek, Michal
    PROCEEDINGS OF THE 29TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS 2011, PTS I AND II, 2011, : 709 - 714
  • [23] Goodness-of-fit test for exponentiality based on spacings for general progressive Type-II censored data
    Qin, Xinyan
    Yu, Jiao
    Gui, Wenhao
    JOURNAL OF APPLIED STATISTICS, 2022, 49 (03) : 599 - 620
  • [24] Modified Greenwood statistic and its application for statistical testing
    Skowronek, Katarzyna
    Arendarczyk, Marek
    Zimroz, Radoslaw
    Wylomanska, Agnieszka
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 452
  • [25] An estimation of Phi divergence and its application in testing normality
    Tavakoli, Mahsa
    Noughabi, Hadi Alizadeh
    Borzadaran, Gholam Reza Mohtashami
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (06): : 2104 - 2118
  • [26] A hierarchical Bayes analysis for one-shot device testing experiment under the assumption of exponentiality
    Sharma, Reema
    Upadhyay, S. K.
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2018, 47 (05) : 1297 - 1314
  • [27] Estimating the Parameters of Normal Distribution from Imprecise Data
    Pak, Abbas
    Mahmoudi, Mohammad Reza
    JOURNAL OF TESTING AND EVALUATION, 2019, 47 (01) : 174 - 187
  • [28] A robust optimization approach for imprecise data envelopment analysis
    Shokouhi, Amir H.
    Hatami-Marbini, Adel
    Tavana, Madjid
    Saati, Saber
    COMPUTERS & INDUSTRIAL ENGINEERING, 2010, 59 (03) : 387 - 397
  • [29] A Nonparametric Test for Testing Exponentiality Against NBUCA Class of Life Distributions Based on Laplace Transform
    Al-Gashgari, F. H.
    Shawky, A. I.
    Mahmoud, M. A. W.
    QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2016, 32 (01) : 29 - 36
  • [30] Bootstrap approach to the multi-sample test of means with imprecise data
    Angeles Gil, Maria
    Montenegro, Manuel
    Gonzalez-Rodriguez, Gil
    Colubi, Ana
    Casals, Maria Rosa
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 51 (01) : 148 - 162
12345