This paper addresses estimation problems for unknown parameters of the generalized logistic distribution based on progressively Type-II censored samples. The maximum likelihood estimation method is the most popular method for estimating unknown parameters of probability distributions. However, it can entail a significant bias if the distribution is skewed or the sample is censored. To overcome this disadvantage, the paper proposes estimation methods based on pivotal quantities and compares them with the maximum likelihood estimation method through Monte Carlo simulations for various progressively Type-II censoring schemes.
机构:
Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
Renmin Univ China, Sch Stat, Beijing 100872, Peoples R ChinaTianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
Tian, Yuzhu
Zhu, Qianqian
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机构:
Renmin Univ China, Sch Stat, Beijing 100872, Peoples R ChinaTianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
Zhu, Qianqian
Tian, Maozai
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机构:
Renmin Univ China, Sch Stat, Beijing 100872, Peoples R ChinaTianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China