頁籤選單縮合
題 名 | Characterization of Distributions Based on Certain Powers of Random Variables |
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作 者 | Huang, Wen-jang; Huang, Yen-ning; Lai, Chia-ling; | 書刊名 | 中國統計學報 |
卷 期 | 43:4 民94.12 |
頁 次 | 頁423-432 |
分類號 | 319.16 |
關鍵詞 | Characterization; Exponential family; |
語 文 | 英文(English) |
英文摘要 | It is well known that if W is N (0,l) distributed, then W2 has the □ distribution. Roberts and Geisser (1966) generalized this result and gave a necessary and sufficient condition for the square of a random variable to be gamma distributed. In this note, first the class of random variables is characterized when the distribution of its nth power is given, where n is a positive integer. Next, some characterization results based on certain quadratic statistics are also provided. |
本系統中英文摘要資訊取自各篇刊載內容。