Abouammoh, A. M.; Alshingiti, Arwa M. Reliability estimation of generalized inverted exponential distribution. (English) Zbl 1178.62109 J. Stat. Comput. Simulation 79, No. 11, 1301-1315 (2009). Summary: A generalized version of the inverted exponential distribution (IED) is introduced. This life time distribution is capable of modelling various shapes of failure rates, and hence various shapes of ageing criteria. The model can be considered as another useful two-parameter generalization of the IED. Statistical and reliability properties of the generalized inverted exponential distribution are derived. Maximum likelihood estimation and least squares estimation are used to evaluate the parameters and the reliability of the distribution. Properties of the estimates are also studied. Cited in 1 ReviewCited in 42 Documents MSC: 62N02 Estimation in survival analysis and censored data 62F10 Point estimation 62N05 Reliability and life testing 62F25 Parametric tolerance and confidence regions Keywords:generalized inverted exponential distribution; hazard-rate; mode; reliability function; maximum likelihood estimation; least squares estimation; tables PDFBibTeX XMLCite \textit{A. M. Abouammoh} and \textit{A. M. Alshingiti}, J. Stat. Comput. Simulation 79, No. 11, 1301--1315 (2009; Zbl 1178.62109) Full Text: DOI References: [1] Barlow E., Statistical Theory of Reliability and Life Testing: Probability Models. To Begin With (1981) [2] Leemis L. M., Reliability: Probability Models and Statistical Methods (1995) · Zbl 0833.62093 [3] DOI: 10.1016/0143-8174(82)90036-1 · doi:10.1016/0143-8174(82)90036-1 [4] DOI: 10.1016/0026-2714(89)90352-1 · doi:10.1016/0026-2714(89)90352-1 [5] DOI: 10.1111/1467-842X.00072 · Zbl 1007.62503 · doi:10.1111/1467-842X.00072 [6] DOI: 10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R · Zbl 0997.62076 · doi:10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO;2-R [7] DOI: 10.1080/00949650108812098 · Zbl 1007.62011 · doi:10.1080/00949650108812098 [8] Nadarajah S., The exponentiated Frechet distribution (2003) [9] Lawless J. F., Statistical Models and Methods for Lifetime Data (1982) · Zbl 0541.62081 [10] Lieblein J., J. Res. Natl. Bur. Stand. 57 pp 273– (1956) [11] DOI: 10.1117/12.187363 · doi:10.1117/12.187363 [12] DOI: 10.1117/12.187364 · doi:10.1117/12.187364 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.