Kumaraswamy inverse Gompertz distribution: Properties and engineering applications to complete, type-II right censored and upper record data

Autor: M. El-Morshedy, Adel A. El-Faheem, Mohamed El-Dawoody
Rok vydání: 2020
Předmět:
Entropy
Infographics
01 natural sciences
Binary entropy function
010104 statistics & probability
Engineering
Reliability Engineering
Statistical Data
Data Management
Mathematics
Likelihood Functions
Multidisciplinary
Physics
Statistics
05 social sciences
Estimator
Reliability
Gompertz distribution
Data Interpretation
Statistical
Physical Sciences
Kurtosis
Medicine
Thermodynamics
Engineering and Technology
Monte Carlo Method
Graphs
Research Article
Statistical Distributions
Computer and Information Sciences
Biometry
Science
Skewness
Industrial Engineering
0502 economics and business
Humans
Applied mathematics
Entropy (information theory)
Computer Simulation
0101 mathematics
050210 logistics & transportation
Models
Statistical
Data Visualization
Mode (statistics)
Reproducibility of Results
Random Variables
Probability Theory
Probability Distribution
Moment (mathematics)
Quantile
Zdroj: PLoS ONE
PLoS ONE, Vol 15, Iss 12, p e0241970 (2020)
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0241970
Popis: This article proposes and studies a new three-parameter generalized model of the inverse Gompertz distribution, in the so-called Kumaraswamy inverse Gompertz distribution. The main advantage of the new model is that it has "an upside down bathtub-shaped curve hazard rate function" depending upon the shape parameters. Several of its statistical and mathematical properties including quantiles, median, mode, moments, probability weighted moment, entropy function, skewness and kurtosis are derived. Moreover, the reliability and hazard rate functions, mean time to failure, mean residual and inactive lifetimes are also concluded. The maximum likelihood approach is done here to estimate the new model parameters. A simulation study is conducted to examine the performance of the estimators of this model. Finally, the usefulness of the proposed distribution is illustrated with different engineering applications to complete, type-II right censored, and upper record data and it is found that this model is more flexible when it is compared to well-known models in the statistical literature.
Databáze: OpenAIRE
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