Life Testing: Structural Inference on The Exponential Model
| Autor: | K.V. Bury, B. Bernholtz |
|---|---|
| Rok vydání: | 1971 |
| Předmět: |
021103 operations research
0211 other engineering and technologies Inference Statistical model Probability density function 02 engineering and technology Function (mathematics) 01 natural sciences Structural theory Computer Science Applications Exponential function 010104 statistics & probability chemistry.chemical_compound chemistry Signal Processing Statistics Statistical inference Statistical physics 0101 mathematics Scale parameter Information Systems Mathematics |
| Zdroj: | INFOR: Information Systems and Operational Research. 9:148-160 |
| ISSN: | 1916-0615 0315-5986 |
| DOI: | 10.1080/03155986.1971.11731471 |
| Popis: | Structural inference theory develops the unique probability density function for the parameter of a scale model. This density constitutes a strong basis for statistical inference because no information is required beyond that provided by the classical statistical model. This paper applies structural theory to the one-parameter exponential measurement model. On the basis of the structural density function for the exponential scale parameter, the probability density of the reliability function is derived. Prediction densities are then developed as an alternative class of life test inferences; these densities concern (i) an arbitrary vector of future measurements, (ii) the average of a number of future measurements, and (iii) the smallest and largest of such future measurements. The data transformations are derived which allow the results of this paper to be applied to progressively censored data of types I and II. An example is given to illustrate the structural densities of this paper. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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