Point and Interval Estimation for the Lifetime Distribution of a k-Unit Parallel System Based on Progressively Type-II Censored Data
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Biswabrata Pradhan
Abstract
This work considers point and interval estimation for the lifetime distribution of a k-unit parallel system assuming exponential distribution for the components lifetime. The parameter of the distribution is estimated by the maximum likelihood method based on samples which are progressively Type-II censored. The expression for Fisher's information is derived. Approximate confidence intervals are constructed based on the asymptotic distribution of the maximum likelihood estimator and log-transformed maximum likelihood estimator. The confidence levels of the approximate confidence intervals are examined via simulation. They turn out to be quite satisfactory. An approximate β-expectation tolerance interval for the life distribution is also discussed.
© Heldermann Verlag
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- Point and Interval Estimation for the Lifetime Distribution of a k-Unit Parallel System Based on Progressively Type-II Censored Data
- A Note on the Distribution of Bousquet
- A Quality Index for Evaluating the Bank Capital Adequacy According to Basel I and II
- Reliability Test Plans for Series Systems in the Presence of Covariates
- Multivariate Information in Univariate Control Charts
- A Note on the Moments of Random Variables
- A Heuristic Approach for Constrained Redundancy Optimization in Multi-state Systems
- Reliability Computation of Moranda's Geometric Software Reliability Model
- Economic Design of A Modified Variable Sample Size and Sampling Interval Chart
- Gamma Frailty Regression Models in Mixture Distributions
- A Truncated Bivariate t Distribution
Articles in the same Issue
- Estimation on a GAR(1) Process by the EM Algorithm
- Point and Interval Estimation for the Lifetime Distribution of a k-Unit Parallel System Based on Progressively Type-II Censored Data
- A Note on the Distribution of Bousquet
- A Quality Index for Evaluating the Bank Capital Adequacy According to Basel I and II
- Reliability Test Plans for Series Systems in the Presence of Covariates
- Multivariate Information in Univariate Control Charts
- A Note on the Moments of Random Variables
- A Heuristic Approach for Constrained Redundancy Optimization in Multi-state Systems
- Reliability Computation of Moranda's Geometric Software Reliability Model
- Economic Design of A Modified Variable Sample Size and Sampling Interval Chart
- Gamma Frailty Regression Models in Mixture Distributions
- A Truncated Bivariate t Distribution
