Abstract
In this paper, the estimation of parameters based on a progressively type-I interval censored sample from a two-parameter Weibull distribution is studied. Different methods of estimation are discussed. They include the maximum likelihood estimation, method of moments, estimation based on Weibull probability plot, mid-point approximation method and one-step approximation method. The estimation procedures are discussed in details and compared via Monte Carlo simulations in terms of their biases and mean square errors. Some recommendations are made from the simulation results and a numerical example is presented to illustrate all of the methods of estimation developed here.
Original language | English (US) |
---|---|
Pages (from-to) | 145-159 |
Number of pages | 15 |
Journal | Journal of Statistical Computation and Simulation |
Volume | 79 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2009 |
Externally published | Yes |
Keywords
- EM algorithm
- Grouped data
- Lifetime data
- Maximum likelihood estimation
- Method of moments
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- Statistics, Probability and Uncertainty
- Applied Mathematics