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A Gull Alpha Power Weibull distribution with applications to real and simulated data
- Source :
- PLoS ONE, Vol 15, Iss 6, p e0233080 (2020), PLoS ONE
- Publication Year :
- 2020
- Publisher :
- Public Library of Science (PLoS), 2020.
-
Abstract
- In this paper, we produced a new family of distribution called Gull Alpha Power Family of distributions (GAPF). A Special case of GAPF is derived by considering the Weibull distribution as a baseline distribution called Gull Alpha Power Weibull distribution (GAPW). The suitability of the proposed distribution derives from its ability to model both the monotonic and non-monotonic hazard rate functions which are a common practice in survival analysis and reliability engineering. Various statistical properties were derived in addition to their special cases. The unknown parameters of the model are estimated using the maximum likelihood method. Moreover, the usefulness of the proposed distribution is supported by using two real lifetime data sets as well as simulated data.
- Subjects :
- Time Factors
Distribution (number theory)
Entropy
Statistics
Medicine and Health Sciences
Weibull distribution
Mathematics
Likelihood Functions
Multidisciplinary
Simulation and Modeling
Physics
Eukaryota
Bladder Cancer
Seabirds
Gulls
Oncology
Data Interpretation, Statistical
Physical Sciences
Vertebrates
Thermodynamics
Probability distribution
Medicine
Algorithms
Statistical Distributions
Research Article
Biometry
Death Rates
Urology
Science
Probability density function
Monotonic function
Research and Analysis Methods
Skewness
Birds
Population Metrics
Animals
Humans
Entropy (information theory)
Models, Statistical
Population Biology
Organisms
Reproducibility of Results
Biology and Life Sciences
Cancers and Neoplasms
Random Variables
Probability Theory
Probability Distribution
Survival Analysis
Genitourinary Tract Tumors
Amniotes
Random variable
Subjects
Details
- Language :
- English
- ISSN :
- 19326203
- Volume :
- 15
- Issue :
- 6
- Database :
- OpenAIRE
- Journal :
- PLoS ONE
- Accession number :
- edsair.doi.dedup.....df043102e2d90dc40cbf60e734b96340