The Type I Generalized Half Logistic Distribution

author

  • A. K. Olapade
Abstract:

In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the $n^{th}$ moment, the median, the mode and the 100$k$-percentage points of the generalized distribution were established. Estimation of the parameters of the distribution through maximum likelihood method was accomplished with the aid of computer program and a theorem that relate the generalized distribution to Pareto distribution was stated and proved. Finally, we obtained the distributions of some order statistics from the generalized half logistic distribution.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

On Type Iii Generalized Half Logistic Distribution

It is well known that generalized models is attracting the attention of researchers in recent times because of their flexibilities. Particularly, the logistic model has been generalized and applied by many authors while the half logistic distribution has not recieve much attention in term of its generalization. In this paper, we considered a generalized form of half logistic model called type I...

full text

On extended type I generalized logistic distribution

The importance of the logistic distribution has already been felt in many areas of human endeavour. Verhulst [12] used it in economic and demographic studies. Berkson [3, 4, 5] used the distribution extensively in analyzing bioassay and quantal response data. The works [6, 9, 10, 11, 8] are a few of many publications on logistic distribution. The simplicity of the logistic distribution and its ...

full text

Estimation and Testing in Type-II Generalized Half Logistic Distribution

A generalization of the Half Logistic Distribution is developed through exponentiation of its survival function and named the Type II Generalized Half Logistic Distribution (GHLD). The distributional characteristics are presented and estimation of its parameters using maximum likelihood and modified maximum likelihood methods is studied with comparisons. Discrimination between Type II GHLD and ...

full text

On the Distribution Functions of the Range and Quasi-range for the Extended Type I Generalized Logistic Distribution

In this paper, we obtain the distribution functions of the range and the quasi-range of the random variables arising from the extended type I generalized logistic distribution.

full text

Estimation for generalized half logistic distribution based on records

In this paper, we derive maximum likelihood estimators (MLEs) and approximate MLEs (AMLEs) of the unknown parameters in a generalized half logistic distribution when the data are upper record values. As an illustration, we examine the validity of our estimation using real data and simulated data. Finally, we compare the proposed estimators in the sense of the mean squared error (MSE) through a ...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 13  issue None

pages  69- 82

publication date 2014-03

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023