Abstract:
In this work, a new compound lifetime model is presented and studied. The new density can be “asymmetric right skewed”, asymmetric left skewed”, “symmetric” and bimodal”. The failure rate of the new model can be “bathtub”, “monotonically decreasing”, “upside down increasing”, “J-shape” and “bathtub-bathtub”. Statistical properties such as ordinary raw moments, mean deviation, incomplete moments and moment generating function are derived and analyzed. We performed a graphical simulation study to assess the finite sample behavior of the estimators. Finally, two real life applications are analyzed to illustrate the importance of the new model.
Page(s):
1-34
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics, Volume: 38, Issue: 1, Year: 2022
Keywords:
Simulation
,
Double Exponential Model
,
Zero Truncated Poisson Distribution
,
Kernel Density Estimation Modeling