Maximum Likelihood Estimations Based on Upper Record Values for Probability Density Function and Cumulative Distribution Function in Exponential Family and Investigating Some of Their Properties

被引：0
作者：
Hosseini, Saman [1 ]
Nasiri, Parviz [2 ]
Gore, Sharad Damodar [3 ]
机构：
[1] Cihan Univ Erbil, Erbil, Iraq
[2] Payam Noor Univ Tehran, Tehran, Iran
[3] Savirtibai Phule Pune Univ, Pune, Maharashtra, India
来源：
JOURNAL OF MODERN APPLIED STATISTICAL METHODS | 2019年 / 18卷 / 02期
关键词：
Exponential family; record values; MLE; asymptotically unbiasedness;
D O I：
10.22237/jmasm/1604189100
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 useful subfamily of the exponential family is considered. The ML estimation based on upper record values are calculated for the parameter, Cumulative Density Function, and Probability Density Function of the subfamily. The relationship between MLE based on record values and a random sample are discussed, along with some properties of these estimators, and its utility is shown for large samples.
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页数：26
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