A NEW GENERALIZATION OF ERLANG-TRUNCATED EXPONENTIAL DISTRIBUTION: PROPERTIES AND APPLICATIONS

被引：1
|
作者：
Elbatal, I [1 ,2 ]
Elgarhy, M. [3 ]
机构：
[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia
[2] Cairo Univ, Fac Grad Studies Stat Res, Dept Math Stat, Giza, Egypt
[3] Valley High Inst Management Finance & Informat Sy, Obour 11828, Qaliubia, Egypt
来源：
ADVANCES AND APPLICATIONS IN STATISTICS | 2020年 / 64卷 / 01期
关键词：
Erlang-truncated exponential distribution; Topp-Leone distribution; moments; maximum likelihood estimation; reliability function; LEONE GENERATED FAMILY; WEIBULL;
D O I：
10.17654/AS064010063
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：
A new three parameter life model called the Topp-Leone Erlang-truncated exponential distribution (TLETEx) distribution is proposed. Various properties of the new model including moments, generating function and mean deviation of the new distribution are derived. The maximum likelihood method is used to estimate the model parameters. The usefulness of the new distribution is illustrated in real data set.
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页码：63 / 74
页数：12
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