A SKEWED TRUNCATED PEARSON TYPE VII DISTRIBUTION

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概要

• 論文の詳細を見る

• Skewed symmetric distributions have attracted a great deal of attention in the last few years. One of them, the skewed Pearson type VII distribution suffers from limited applicability because it is well known that the Pearson type VII distribution does not have finite moments of all orders. This note proposes an alternative referred to as skewed truncated Pearson type VII distribution and defined by the pdf f(x)=2g(x)G(λx), where g(・) and G(・) are taken, respectively, to be the pdf and the cdf of a truncated Pearson type VII distribution. This distribution possesses finite moments of all orders and could therefore be a better model for certain practical situations. Two such situations are discussed. The note also derives various properties of the distribution, including its moments.

• 一般社団法人日本統計学会の論文

著者

• Gupta Arjun

  Department of Mathematics and Statistics Bowling Green State University

• Nadarajah Saralees

  Department Of Statistics University Of Nebraska

• Nadarajah Saralees

  Univ. Nebraska Ne Usa

• GUPTA Arjun

  Department of Mathematics and Statistics, Bowling Green State University

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