scholarly journals A NEW MARSHALL OLKIN EXTENDED FAMILY OF DISTRIBUTIONS WITH BOUNDED SUPPORT

2021 ◽  
pp. 29-35
Author(s):  
Festus OPONE ◽  
Blessing IWERUMOR
Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 851
Author(s):  
Tiago M. Magalhães ◽  
Yolanda M. Gómez ◽  
Diego I. Gallardo ◽  
Osvaldo Venegas

The Marshall-Olkin extended family of distributions is an alternative for modeling lifetimes, and considers more or less asymmetry than its parent model, achieved by incorporating just one extra parameter. We investigate the bias of maximum likelihood estimators and use it to develop an estimator with less bias than traditional estimators, by a modification of the score function. Unlike other proposals, in this paper, we consider a bias reduction methodology that can be applied to any member of the family and not necessarily to any particular distribution. We conduct a Monte Carlo simulation in order to study the performance of the corrected estimators in finite samples. This simulation shows that the maximum likelihood estimator is quite biased and the proposed estimator is much less biased; in small sample sizes, the bias is reduced by around 50 percent. Two applications, related to the air conditioning system of an airplane and precipitations, are presented to illustrate the results. In those applications, the bias reduction for the shape parameters is close to 25% and the bias reduction also reduces, among others things, the width of the 95% confidence intervals for quantiles lower than 0.594.


2021 ◽  
pp. 251-276
Author(s):  
M.H. Tahir ◽  
Gauss M. Cordeiro ◽  
M. Mansoor ◽  
Ayman Alzaatreh ◽  
M. Zubair

Statistics ◽  
2014 ◽  
Vol 49 (6) ◽  
pp. 1400-1421 ◽  
Author(s):  
Apostolos Batsidis ◽  
Artur J. Lemonte

2011 ◽  
Vol 63 (1-4) ◽  
pp. 339-358
Author(s):  
Sudhansu S. Maiti ◽  
Sudhir Murmu

2014 ◽  
Author(s):  
Jennifer M. Grossman ◽  
Allison J. Tracy ◽  
Amanda M. Richer
Keyword(s):  

2019 ◽  
Vol 43 (2) ◽  
pp. 135-163
Author(s):  
SUDHANSU S. MAITI ◽  
◽  
SUKANTA PRAMANIK ◽  

Author(s):  
Shinyoung Kim

This article aims to explore the Japanese colonial government’s efforts to promote mass movements in Korea which rose suddenly and showed remarkable growth throughout the 1930s. It focuses on two Governor-Generals and the directors of the Education Bureau who created the Social Indoctrination movements under Governor-General Ugaki Kazushige in the early 1930s and the National Spiritual Mobilization Movement of Governor-General Minami Jirō in the late 1930s. The analysis covers their respective political motivations, ideological orientation, and organizational structure. It demonstrates that Ugaki, under the drive to integrate Korea with an economic bloc centered on Japan, adapted the traditional local practices of the colonized based on the claim of “Particularities of Korea,” whereas the second Sino-Japanese War led Minami to emphasize assimilation, utilizing the ideology of the extended-family to give colonial power more direct access to individuals as well as obscuring the unequal nature of the colonial relationship. It argues that the colonial government-led campaigns constituted a core ruling mechanism of Japanese imperialism in the 1930s.


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