The Gompertz Length Biased Exponential Distribution and its application to Uncensored Data
Journal Title: Current Trends on Biostatistics & Biometrics - Year 2019, Vol 1, Issue 3
Abstract
This paper proposes a generalization of the length biased exponential distribution, called the Gompertz length biased exponential (GLBE) distribution. Some of the basic properties of the proposed model were derived in minute details and model parameters estimated by the maximum likelihood estimate method. The adequacy of the model is empirically validated with the use of real - life data. Length biased distributions are special case of the more general form known as weighted distribution [1], first introduced by [2] to model ascertainment bias and formalized in a unifying theory by [3]. Lifetime data may be modeled with several existing distributions, although the existing models are not adequate or are less representative of actual data in many situations. Therefore, the development of compound distributions that could better describe certain phenomena and make them more flexible than the baseline distribution is of great importance [4]. Thus, the choice of the model is also an important issue for reliable model parameter estimation. Some exponential distribution generalizations for modeling lifetime data due to some interesting advantages have been recently proposed [5]. In recent years many exponential distribution generalizations have been developed, such as the Marshall Olkin length biased exponential distribution [5], exponentiated exponential [6,7], generalized exponentiated moment exponential [8], extended exponentiated exponential [19], Marshall-Olkin exponential Weibull [10], Marshall-Olkin generalized exponential [5], and exponentiated moment exponential [11] distributions.
Authors and Affiliations
Obubu Maxwell, Oluwafemi Samuel Oyamakin, Eghwerido Joseph Thomas
Keywords
Related Articles
- EP ID EP641958
- DOI 10.32474/CTBB.2019.01.000111
- Views 57
- Downloads 0
Some Simple Mathematical Models in Epilepsy
Epilepsy is a chronic disorder of the brain that affects people of all ages. Here epileptic seizures equations are related to the telegraph equation. Epilepsy is a chronic disorder of the brain that affects people of all...
The T-R {Generalized Lambda V} Families of Distributions
The four-parameter generalized lambda distribution (GLD) was proposed in [1]. We say the GLD is of type V, if the quantile function corresponds to Case(v) in of [2], that is, where u 2 (0, 1) and a, b 2 (−1, 0). In this...
Demand for the Emerging AI, Machine, Deep Learning and Big Data Analytics Skill for 21st Century Jobs
This paper presents recent development, application and potentials of technologies like AI, Machine, Deep Learning and Big Data Analytics and ways in which big data can be leveraged to improve the efficiency and effectiv...
A Simple Mathematical Model for a New Type of Cancer Cells
Recently new type of cancer cells has been observed. It is called Hybrid cells. A simple mathematical model is proposed to describe them. It implies that they will be near the tumor surface or circulating. Some comments...
Correlative Variation of The Essential Amino Acids
On the example of the table of contents of eight essential amino acids in 22 products, the methodology of factor analysis and determination of the coefficient of correlation variation, calculated as the ratio of the sum...