The Kumaraswamy Birnbaum-Saunders Distribution

被引：0

作者：

Saulo, Helton ^{[1
]}

Leao, Jeremias ^{[2
]}

Bourguignon, Marcelo ^{[3
]}

机构：

[1] Univ Fed Rio Grande do Sul, Dept Econ, Av Joao Pessoa 52, Porto Alegre, RS, Brazil

[2] Univ Fed Piaui, Dept Estat, Teresina, Brazil

[3] Univ Fed Pernambuco, Dept Estat, Recife, PE, Brazil

来源：

JOURNAL OF STATISTICAL THEORY AND PRACTICE | 2012年 / 6卷 / 04期

关键词：

Birnbaum-Saunders distribution; Distribution theory; Kumaraswamy Birnbaum-Saunders distribution;

D O I：

10.1080/15598608.2012.719814

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Motivated by the recent work of Cordeiro and Castro (2011), we study the Kumaraswamy Birnbaum-Saunders (Kw-BS) distribution. This distribution provides an enormous flexibility in modeling heavy-tailed and skewed data. We derive some mathematical properties of the Kw-BS including moments, quantile function, average lifetime function, mean residual lifetime function, and order statistics. In addition, we discuss maximum likelihood estimation of the model parameters.

引用

页码：745 / 759

页数：15

共 50 条

[21] Bivariate Birnbaum-Saunders distribution and associated inference
Kundu, Debasis
Balakrishnan, N.
Jamalizadeh, A.
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2010, 101 (01) : 113 - 125
[22] Fast Bayesian Inference for Birnbaum-Saunders Distribution
Teimouri, Mahdi
[J]. COMPUTATIONAL STATISTICS, 2023, 38 (02) : 569 - 601
[23] SHORTEST PREDICTION INTERVALS FOR THE BIRNBAUM-SAUNDERS DISTRIBUTION
DESMOND, AF
YANG, ZL
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1995, 24 (06) : 1383 - 1401
[24] RELIABILITY STUDIES OF BIVARIATE BIRNBAUM-SAUNDERS DISTRIBUTION
Gupta, Ramesh C.
[J]. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2015, 29 (02) : 265 - 276
[25] Bootstrap prediction intervals for the Birnbaum-Saunders distribution
Lu, MC
Chang, DS
[J]. MICROELECTRONICS AND RELIABILITY, 1997, 37 (08): : 1213 - 1216
[26] Generalized Modified Slash Birnbaum-Saunders Distribution
Reyes, Jimmy
Barranco-Chamorro, Inmaculada
Gallardo, Diego I.
Gomez, Hector W.
[J]. SYMMETRY-BASEL, 2018, 10 (12):
[27] Generalized interval estimation for the Birnbaum-Saunders distribution
Wang, Bing Xing
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2012, 56 (12) : 4320 - 4326
[28] RANDOM NUMBER GENERATOR FOR THE BIRNBAUM-SAUNDERS DISTRIBUTION
CHANG, DS
TANG, LC
[J]. COMPUTERS & INDUSTRIAL ENGINEERING, 1994, 27 (1-4) : 345 - 348
[29] Epsilon Birnbaum-Saunders distribution family: properties and inference
Castillo, Nabor O.
Gomez, Hector W.
Bolfarine, Heleno
[J]. STATISTICAL PAPERS, 2011, 52 (04) : 871 - 883
[30] PERCENTILE BOUNDS AND TOLERANCE LIMITS FOR THE BIRNBAUM-SAUNDERS DISTRIBUTION
CHANG, DS
TANG, LC
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1994, 23 (10) : 2853 - 2863

← 1 2 3 4 5 →