A New Probabilistic Approach: Estimation and Monte Carlo Simulation with Applications to Time-to-Event Data
In this paper, we propose a useful method without adding any extra parameters to obtain new probability distributions. The proposed family is a combination of the two existing families of distributions and is called a weighted sine-G family. A two-parameter special member of the weighted sine-G fami...
Saved in:
Published in | Mathematics (Basel) Vol. 11; no. 7; p. 1583 |
---|---|
Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
Basel
MDPI AG
01.04.2023
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | In this paper, we propose a useful method without adding any extra parameters to obtain new probability distributions. The proposed family is a combination of the two existing families of distributions and is called a weighted sine-G family. A two-parameter special member of the weighted sine-G family, using the Weibull distribution as a baseline model, is considered and investigated in detail. Some distributional properties of the weighted sine-G family are derived. Different estimation methods are considered to estimate the parameters of the special model of the weighted sine-G family. Furthermore, simulation studies based on these different methods are also provided. Finally, the applicability and usefulness of the weighted sine-G family are demonstrated by analyzing two data sets taken from the engineering sector. |
---|---|
ISSN: | 2227-7390 2227-7390 |
DOI: | 10.3390/math11071583 |