Beta slashed generalised half-normal distribution
نویسندگان
چکیده
In this paper we propose the beta slashed generalised half-normal distribution, which includes some important distributions such as half-normal, and distributions. Explicit expressions for cumulative distribution characteristic functions are derived. The maximum likelihood estimates of parameters obtained via EM algorithm value proposed model is illustrated with an application on fatigue data. Keywords: Beta Characteristic function, Half-normal Skewness, Stochastic representation
منابع مشابه
Generalized half-normal distribution: Model and properties
In this article new generalization of half-normal distribution as the half generalized normal distribution is introduced. This distribution, contains the half-normal distribution as special case. We provide mathematical properties of this distribution. We also derive the pdf, cdf, -th moment, the asymmetry and kurtosis coefficients and the moment generating function. We discuss some inferenti...
متن کاملThe Beta - Half - Cauchy Distribution
On the basis of the half-Cauchy distribution, we propose the called beta-half-Cauchy distribution for modeling lifetime data. Various explicit expressions for its moments, generating and quantile functions, mean deviations, and density function of the order statistics and their moments are provided. The parameters of the new model are estimated by maximum likelihood, and the observed informatio...
متن کاملNormal distribution, Comparand Gamma Normal distribution and collates Beta distribution
In this paper some properties of Beta - X family are discussed and a member of the family,the beta– normal distribution, is studied in detail.One real data set are used to illustrate the applications of the beta-normal distribution and compare that to gamma - normal and Birnbaum-Saunders distriboutions.
متن کاملA Perturbed Half-normal Distribution and Its Applications
In this paper, a new generalization of the half-normal distribution which is called the perturbed half-normal distribution is introduced. The new distribution belongs to a family of distributions which includes the half-normal distribution along with an extra parameter to regulate skewness. The probability density function (pdf) is derived and some various properties of the new distribution are...
متن کاملA half-normal distribution scheme for generating functions
We present an extension of a theorem by Michael Drmota and Michèle Soria [Images and Preimages in Random Mappings, 1997] which can be used to identify the limiting distribution for a class of combinatorial schemata. This is achieved by determining analytic and algebraic properties of the associated bivariate generating function. We give sufficient conditions implying a half-normal limiting dist...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: South African Statistical Journal
سال: 2022
ISSN: ['0038-271X', '1996-8450']
DOI: https://doi.org/10.37920/sasj.2017.51.2.6