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The gamma power half-logistic distribution: theory and applications
In this paper, we propose a new three-parameter distribution defined on the positive real line, called the gamma power half-logistic distribution. It...
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Poisson–logarithmic half-logistic distribution with inference under a progressive-stress model based on adaptive type-II progressive hybrid censoring
The researchers, engineers, and physical experimenters may face difficulty to get a distribution that fits the failure data arising from certain...
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Stress–Strength Parameter Estimation Based on Type-II Progressive Censored Samples for a Weibull-Half-Logistic Distribution
To produce more flexible model, the Bayesian and classical inference of the stress–strength parameter, R , is studied under Type-II progressive...
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Binomial distribution
It’s common in scientific studies for the outcome observed for each participant to have a yes/no format. Often, the aim of the study is to link these...
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Group Acceptance Sampling Plans Based on Truncated Life Tests for Gamma Lindley Distribution with Real Data Application
AbstractThis article develops a new group acceptance sampling plans (GASP) based on truncated lifetimes when the item’s lifetime follows gamma...
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Development of an efficient bounded distribution with application to practical data
Creating probability distributions with bounded support is crucial for accurately modeling and analyzing situations where outcomes naturally fall...
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Reaction–Diffusion Modeling of E. coli Colony Growth Based on Nutrient Distribution and Agar Dehydration
The bacterial colony is a powerful experimental platform for broad biological research, and reaction–diffusion models are widely used to study the...
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Analyzing and solving the identifiability problem in the exponentiated generalized Weibull distribution
The well-known Weibull distribution can be used to model the decreasing and unimodal failure rate quite standard in reliability and biological...
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Dynamical analysis and encryption key-distribution application of new q-deformed reduced Lorenz system
The aim of this work is to analytically investigate the nonlinear dynamic behaviors of a proposed reduced Lorenz system based on q-deformations. The...
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Roles of delay on a food-limited predator–prey model with prey-taxis
Due to the attraction or repulsion towards some chemical signals, prey and predator may move in a specific direction. We establish a food-limited...
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On the unit Burr-XII distribution with the quantile regression modeling and applications
In this paper, we modify the Burr-XII distribution through the inverse exponential scheme to obtain a new two-parameter distribution on the unit...
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Hypergeometric Distribution
After finishing the chapter, readers will be able to …...
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The Sine Modified Power-Generated Family of Distributions with Application to Practical Data and Ruin Probability
AbstractIn the past ten years, trigonometric-type distributions have drawn a lot of attention due to their excellent capacity to assess a wide range...
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Inferring Bayesian ageing notions of bivariate distributions from univariate ageing
In the present work, we attempt to identify classes of bivariate distributions of random vector ( X , Y ) in which ageing concepts like increasing...
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Tumor growth and population modeling in a toxicant-stressed random environment
When examining some factors that contribute to the growth or decline of a population or tumor, it is essential to consider a random hypothesis. By...
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Parametric Regression Model Based on Reversed Hazard Rate: An Application to left censored heavy tailed HIV Viral Load Data
The parametric survival model with Weibull distribution can be used to model a wide range of practical lifetime data. While there have been several...
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Quantile-Based Shannon Entropy for Record Statistics
The quantile-based entropy measures possess some unique properties than their distribution function approach. The present communication deals with...
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Software Reliability Models and Multi-attribute Utility Function Based Strategic Decision for Release Time Optimization
The software industry is working hard to keep up with these rapid changes by devising methods to increase the pace of their work without compromising...