From B-spline representations to gamma representations in hybrid censoring
| Autor: | Julian Górny, Erhard Cramer |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Statistics and Probability
Mathematical optimization Exponential distribution B-spline 05 social sciences 01 natural sciences Censoring (statistics) 010104 statistics & probability Identity (mathematics) Distribution (mathematics) 0502 economics and business Gamma distribution Applied mathematics 0101 mathematics Statistics Probability and Uncertainty Divided differences Linear combination 050205 econometrics Mathematics |
| Zdroj: | Statistical Papers. 60:1119-1135 |
| ISSN: | 1613-9798 0932-5026 |
| DOI: | 10.1007/s00362-016-0866-4 |
| Popis: | We establish an identity that relates B-spline functions to linear combinations of gamma density functions. Utilizing this connection, we illustrate that, for exponentially distributed lifetimes, the distribution of the MLE in various hybrid censoring schemes can be expressed in terms of gamma density functions with simple weights. As an example, representations for the density functions in the case of Type-I sequential, Type-II progressive hybrid, generalized Type-I progressive hybrid, and generalized Type-II progressive hybrid censoring schemes are presented. It turns out that the representations arising from the spacings’ based approach introduced in Cramer and Balakrishnan (Stat Methodol 10:128–150, 2013) are more compact than those available in the literature so far. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink