An exponential power life-testing distribution
- 1 January 1975
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics
- Vol. 4 (5) , 469-481
- https://doi.org/10.1080/03610927508827263
Abstract
An extreme-value type life-testing distribution is studied which has the property that the hazard function say assume a U-shaped form. Also the hazard function is exponentially increasing on the right. Some general properties of least squares type estimators are discussed for the case of location-scale parameter distributions, and these estimators are applied to the proposed model. Properties of the estimators are studied by Monta Carlo simulation, and procedures for interval estimation and tests of hypotheses for the parameters and reliability are provided. A numerical example is also considered.Keywords
This publication has 9 references indexed in Scilit:
- Analysis for the Linear Failure-Rate Life-Testing DistributionTechnometrics, 1974
- Estimation and testing of an exponential polynomial rate function within the nonstationary Poisson processBiometrika, 1974
- A property of maximum likelihood estimators in the presence of location-scale nuisance parametersCommunications in Statistics, 1973
- Estimation of Parameters in the Weibull DistributionTechnometrics, 1967
- An Exact Asymptotically Efficient Confidence Bound for Reliability in the Case of the Weibull DistributionTechnometrics, 1966
- ESTIMATION OF THE MEAN AND STANDARD DEVIATION OF A NORMAL POPULATION FROM A CENSORED SAMPLEBiometrika, 1952
- An Analysis of Some Failure DataJournal of the American Statistical Association, 1952
- Fiducial Distributions in Fiducial InferenceThe Annals of Mathematical Statistics, 1938
- The Distribution of Chi-SquareProceedings of the National Academy of Sciences, 1931