New Log-Half-Cauchy distribution with Properties & Application to Lifetime Data
Journal Title: Journal of Advanced Research in Applied Mathematics and Statistics - Year 2018, Vol 3, Issue 3
Abstract
In this paper a new distribution based on Cauchy distribution called new log half-Cauchy distribution is proposed. This model is flexible enough to model different types of lifetime data having different forms of failure rate. The new distribution can accommodate both decreasing and increasing failure rates as its antecessors, as well as unimodal and bathtub shaped failure rates. Important mathematical properties including linear expansions for pdf and cdf of the log Half-Cauchy distribution are discussed. Furthermore some important statistical properties as mode, quantile function, skewness and kurtosis are studied. Rényi and q entropies of the new distribution are derived. The moments and incomplete moments of the new model are derived also the distributions of order statistics are discussed. The maximum likelihood estimation is used to evaluate the parameters involved. Simulation study has been conducted to study the accuracy and consistency of the MLE of the parameters. Finally, the usefulness of the new model for modeling reliability data is illustrated using a real data set to show the performance of the new distribution.
Authors and Affiliations
Saeed E. Hemeda
Keywords
Related Articles
- EP ID EP385729
- DOI -
- Views 114
- Downloads 0
Coaching Approach for Teaching and Learning - A Book Review
Costa and Garmston (2002) opined that cognitive coaching is defined as a non-judgmental, developmental, reflective model derived from a blend of the psychological orientations of cognitive theorists and the interpersonal...
Additive Weibull Log Logistic Distribution: Properties & Application
We introduce a new lifetime distribution with six parameters. This distribution is called the additive Weibull log logistic (AWLL) distribution based on the additive Weibull-generated family of distributions and the log...
Four Occasionally Weakly Compatible Self Mappings in Intuitionistic Fuzzy Metric Spaces Having a Common Fixed-Point
In this paper, we prove common fixed-point theorems as an application of occasionally weakly compatible mappings in intuitionistic fuzzy metric space under contractive conditions that extend the scope of the study of com...
Absolute Point Approach for More-For-Less Paradox in Linear Fractional Transportation Problem
In more-for-less situations in linear fractional transportation problem, it is possible to ship more units of goods with less (or equal) cost than the optimal solution. This type of analysis can help industries in many w...
Statistical Investigation of Household Size using Count Data Regression Models
Social sciences including demography, sociology, economy and anthropology traditionally recognize the importance of the approach of housing and families and their requirements. But the demographers pay less attention on...