PWM SOLUTIONS TO NORMAL, LOGNORMAL AND PEARSON-III DISTRIBUTIONS

Autor:	Kazuhito Tsuchiya, Kuniyoshi Takeuchi
Rok vydání:	1988
Předmět:	Normal distribution Statistics Log-normal distribution Statistical parameter Applied mathematics Inverse Linear combination Inverse distribution Generalized normal distribution Standard deviation Mathematics
Zdroj:	Doboku Gakkai Ronbunshu. 1988:95-101
ISSN:	1882-7187 0289-7806
DOI:	10.2208/jscej.1988.393_95
Popis:	It has been considered that a new statistical parameter estimation method using probability weighted moments (PWM) is difficult to be applied for the distributions that cannot be expressed in an inverse form, i. e., x=x(F). The authors show in this paper that it has been successfully applied and that the analytical PWM solutions were obtained for the representative distributions of non-inverse type, that is, Normal, 3-parameter Lognormal and 3-parameter Pearson-III distributions. The PWM estimate of the standard deviation of the Normal distribution turned out to be unbiased and having a form of a linear combination of samples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6d34bc177bf8ddd193b25143fd389adc https://doi.org/10.2208/jscej.1988.393_95 Zobrazit plný text záznamu