GENERALIZED EXPONENTIAL DISTRIBUTION: MOMENTS OF ORDER STATISTICS

MOHAMMAD Z. RAQAB

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GENERALIZED EXPONENTIAL DISTRIBUTION: MOMENTS OF ORDER STATISTICS

机译：广义指数分布：阶数统计量

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In this paper, we consider the generalized exponential distribution (GED) with shape parameter a. We establish several recurrence relations satisfied by the single and the product moments for order statistics from the GED. The relationships can be written in terms of polygamma and hypergeometric functions and used in a simple recursive manner in order to compute the single and the product moments of all order statistics for all sample sizes.

机译：在本文中，我们考虑形状参数为a的广义指数分布（GED）。我们为GED建立了由订单时刻和产品时刻满足的几个递归关系。这些关系可以用多伽马函数和超几何函数来表示，并以简单的递归方式使用，以便为所有样本量计算所有阶次统计量的单矩和乘积矩。

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来源
《Statistics》 |2004年第1期|p.29-41|共13页
作者
MOHAMMAD Z. RAQAB;
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作者单位

Department of Mathematics, University of Jordan, Amman 11942, Jordan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
order statistics; moment generating function; moments of order statistics; polygamma functions; hyper-geometric functions; riemann zeta function;

机译：阶次统计量;矩产生函数;阶次统计量矩;多伽马函数;超几何函数;riemann zeta函数;

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GENERALIZED EXPONENTIAL DISTRIBUTION: MOMENTS OF ORDER STATISTICS

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