Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data
View through CrossRef
In this manuscript, we have derived a new lifetime distribution named generalized Weibull–Lindley (GWL) distribution based on the T-X family of distribution specifically the generalized Weibull-X family of distribution. We derived and investigated the shapes of its probability density function (pdf), hazard rate function, and survival function. Some statistical properties such as quantile function, mode, median, order statistics, Shannon entropy, Galton skewness, and Moors kurtosis have been derived. Parameter estimation was done through maximum likelihood estimation (MLE) method. Monte Carlo simulation was conducted to check the performance of the parameter estimates. For the inference purpose, two real-life datasets were applied and generalized Weibull–Lindley (GWL) distribution appeared to be superior over its competitors including Lindley distribution, Akash distribution, new Weibull-F distribution, Weibull–Lindley (WL) distribution, and two-parameter Lindley (TPL) distribution.
Title: Generalized Weibull–Lindley (GWL) Distribution in Modeling Lifetime Data
Description:
In this manuscript, we have derived a new lifetime distribution named generalized Weibull–Lindley (GWL) distribution based on the T-X family of distribution specifically the generalized Weibull-X family of distribution.
We derived and investigated the shapes of its probability density function (pdf), hazard rate function, and survival function.
Some statistical properties such as quantile function, mode, median, order statistics, Shannon entropy, Galton skewness, and Moors kurtosis have been derived.
Parameter estimation was done through maximum likelihood estimation (MLE) method.
Monte Carlo simulation was conducted to check the performance of the parameter estimates.
For the inference purpose, two real-life datasets were applied and generalized Weibull–Lindley (GWL) distribution appeared to be superior over its competitors including Lindley distribution, Akash distribution, new Weibull-F distribution, Weibull–Lindley (WL) distribution, and two-parameter Lindley (TPL) distribution.
Related Results
The Two-Parameter Odd Lindley Weibull Lifetime Model with Properties and Applications
The Two-Parameter Odd Lindley Weibull Lifetime Model with Properties and Applications
In this work, we study the two-parameter Odd Lindley Weibull lifetime model. This distribution is motivated by the wide use of the Weibull model in many applied areas and also for ...
GWL-REA: An improved method for classifying Hess-Brezowksy Grosswetterlagen based on pattern correlations in combination with Lamb Weather Type statistics
GWL-REA: An improved method for classifying Hess-Brezowksy Grosswetterlagen based on pattern correlations in combination with Lamb Weather Type statistics
<p>The Hess-Brezowsky Grosswetterlagen (GWL) are a widely used set of 29 synoptic weather patterns, focussed on Central Europe. Previous algorithmic methods for class...
The influence of different groundwater levels (GWL) on C and GHG dynamics of an agricultural used wetland area
The influence of different groundwater levels (GWL) on C and GHG dynamics of an agricultural used wetland area
<p>Agricultural used wetlands with high SOC stocks cover large parts of northeast (NE) Germany. Drainage and modification of groundwater levels by agricultural water ...
APPLICATIONS OF INVERSE WEIBULL RAYLEIGH DISTRIBUTION TO FAILURE RATES AND VINYL CHLORIDE DATA SETS
APPLICATIONS OF INVERSE WEIBULL RAYLEIGH DISTRIBUTION TO FAILURE RATES AND VINYL CHLORIDE DATA SETS
In this work, a new three parameter distribution called the Inverse Weibull Rayleigh distribution is proposed. Some of its statistical properties were presented. The PDF plot of In...
Bayesian Model Averaging Ensemble Approach for Multi-Time-Ahead Groundwater Level Prediction Combining the GRACE, GLEAM, and GLDAS Data in Arid Areas
Bayesian Model Averaging Ensemble Approach for Multi-Time-Ahead Groundwater Level Prediction Combining the GRACE, GLEAM, and GLDAS Data in Arid Areas
Accurate groundwater level (GWL) prediction is essential for the sustainable management of groundwater resources. However, the prediction of GWLs remains a challenge due to insuffi...
THE COMPARISON DURATION DIABETES SURVIVAL TIMES MODELLING USING LINDLEY (LIN), WEIGHTED LINDLEY EXPONENTIAL (WLE), POWER MODIFIED LINDLEY (PML), LINDLEY HALF-CAUCHY (LHC) AND RAYLEIGHT LOMAX (RL) DISTRIBUTIONS
THE COMPARISON DURATION DIABETES SURVIVAL TIMES MODELLING USING LINDLEY (LIN), WEIGHTED LINDLEY EXPONENTIAL (WLE), POWER MODIFIED LINDLEY (PML), LINDLEY HALF-CAUCHY (LHC) AND RAYLEIGHT LOMAX (RL) DISTRIBUTIONS
Accurate diabetes survival time modeling is critical in estimating diabetes survival time potential for effectively. One of the bases for assessment of diabetes survival times po...
A New Generalized Logarithmic–X Family of Distributions with Biomedical Data Analysis
A New Generalized Logarithmic–X Family of Distributions with Biomedical Data Analysis
In this article, an attempt is made to propose a novel method of lifetime distributions with maximum flexibility using a popular T–X approach together with an exponential distribut...
From Gaussian Distribution to Weibull Distribution
From Gaussian Distribution to Weibull Distribution
The Gaussian distribution is one of the most widely used statistical distributions, but there are a lot of data that do not conform to Gaussian distributio...