The Empirical Distribution Function with Arbitrarily Grouped, Censored and Truncated Data
- 1 July 1976
- journal article
- research article
- Published by Oxford University Press (OUP) in Journal of the Royal Statistical Society Series B: Statistical Methodology
- Vol. 38 (3) , 290-295
- https://doi.org/10.1111/j.2517-6161.1976.tb01597.x
Abstract
This paper is concerned with the non‐parametric estimation of a distribution function F, when the data are incomplete due to grouping, censoring and/or truncation. Using the idea of self‐consistency, a simple algorithm is constructed and shown to converge monotonically to yield a maximum likelihood estimate of F. An application to hypothesis testing is indicated.Keywords
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