The Beta Transmuted Weibull Distribution

被引：15
|
作者：
Pal, Manisha [1 ]
Tiensuwan, Montip [2 ]
机构：
[1] Calcutta Univ, Dept Stat, Kolkata, India
[2] Mahidol Univ, Fac Sci, Dept Math, Salaya, Nakhon Pathom, Thailand
来源：
AUSTRIAN JOURNAL OF STATISTICS | 2014年 / 43卷 / 02期
关键词：
reliability function; moment generating function; mean deviation; Bonferroni and Lorenz curve; reliability and entropies; maximum likelihood estimation;
D O I：
10.17713/ajs.v43i2.37
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：
The paper introduces a beta transmuted Weibull distribution, which contains a number of distributions as special cases. The properties of the distribution are discussed and explicit expressions are derived for the mean deviations, Bonferroni and Lorenz curves, and reliability. The distribution and moments of order statistics are also studied. Estimation of the model parameters by the method of maximum likelihood is discussed. The log beta transmuted Weibull model is introduced to analyze censored data. Finally, the usefulness of the new distribution in analyzing positive data is illustrated.
引用
收藏
页码：133 / 149
页数：17
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