Contributions to Reliability.
Abstract
Chapter 1 of the report gives an estimate of the reciprocal of the Weibull shape parameter based on two order statistics. The exact properties are obtained for sample sizes up to 26. In Chapter 2 the properties of distributions with a designated quantile are studied. In Chapter 3 the interrelationships and properties of distributions which are respectively IHR (Increasing Hazard Rate), IHRA (Increasing Hazard Rate Average) and DMR (Decreasing Mean Residual Life) are discovered. A number of properties of life distributions that were restricted to the IHR family are shown to hold true for a wider class of hazard rate families. Finally, in Chapter 4, families of distributions that contain IHR, DHR (Decreasing Hazard Rate), constant rate (exponential) and combinations thereof, giving rise to the classical bath-tub shape hazard rate curves are characterized in a closed form and methods of estimating the parameters are discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1971
- Accession Number
- AD0727063
Entities
People
- G. Boyd Swartz
- V. K. Murthy
Organizations
- System Development Corporation