An Extended Generalized Lindley Distribution and Its Applications to Lifetime Data
Authors
Abstract:
In this paper, a four parameters extension of the generalized Lindley distribution is introduced. The new distribution includes the power Lindley, Lindley, generalized (Stacy) gamma, gamma, Weibull, Rayleigh, exponential and half-normal distribution. Several statistical properties of the distribution are explored. Then, a bivariate version of the proposed distribution is derived. Using a simulation study, some estimation methods for the parameters of the distribution are compared. Finally, a real data application illustrates the performance of our proposed distribution.
similar resources
On Two - Parameter Lindley Distribution and its Applications to Model Lifetime Data
The detailed study about its mathematical properties, estimation of parameter and application showing the superiority of Lindley distribution over exponential distribution for the waiting times before service of the bank customers has been done by Ghitany et al. [3]. The Lindley distribution has been generalized extended and modified by different researchers including [1,420] are some among oth...
full textTransmuted Lindley-Geometric Distribution and its Applications
A functional composition of the cumulative distribution function of one probability distribution with the inverse cumulative distribution function of another is called the transmutation map. In this article, we will use the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distributions taking Lindley-geometric distribution as the base value distribut...
full textThe Lindley-Poisson distribution in lifetime analysis and its properties
In this paper, we introduce a new compounding distribution, named the LindleyPoisson distribution. We investigate its characterization and statistical properties. The maximum likelihood inference using EM algorithm is developed. Asymptotic properties of the MLEs are discussed and simulation studies are performed to assess the performance of parameter estimation. We illustrate the proposed model...
full textThe generalized weighted Lindley distribution: Properties, estimation and applications
Abstract: In this study, a three-parameter lifetime distribution namely generalized weighted Lindley (GLW) distribution is proposed. The GLW distribution is an useful generalization of the weighted Lindley distribution which accommodates increasing, decreasing, decreasing-increasing-decreasing, bathtub, and unimodal hazard rate making it a flexible model for reliable data. A significant account...
full textEstimation of Parameters for an Extended Generalized Half Logistic Distribution Based on Complete and Censored Data
This paper considers an Extended Generalized Half Logistic distribution. We derive some properties of this distribution and then we discuss estimation of the distribution parameters by the methods of moments, maximum likelihood and the new method of minimum spacing distance estimator based on complete data. Also, maximum likelihood equations for estimating the parameters based on Type-I and Typ...
full textA new generalized Lindley distribution
In this paper, we present a new class of distributions called New Generalized Lindley Distribution(NGLD). This class of distributions contains several distributions such as gamma, exponential and Lindley as special cases. The hazard function, reverse hazard function, moments and moment generating function and inequality measures are are obtained. Moreover, we discuss the maximum likelihood esti...
full textMy Resources
Journal title
volume 11 issue 2
pages 203- 222
publication date 2015-03
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023