Y. Komori and H. Hirose (2002), Parameter estimation based on grouped or
continuous data for truncated exponential distributions, Communications
in Statistics: Theory and Methods, 31 (6), 889-900.
Abstract
Parameter estimation based on truncated data is dealt with; the data are
assumed to obey truncated exponential distributions with a variety of truncation
time---a1 data are obtained by truncation time b1, a2 data are obtained
by truncation time b2 and so on, whereas the underlying distribution is
the same exponential one. The purpose of the present paper is to give existence
conditions of the maximum likelihood estimators (MLEs) and to show some
properties of the MLEs in two cases: 1) the grouped and truncated data
are given (that is, the data each express the number of the data value
falling in a corresponding subinterval), 2) the continuous and truncated
data are given.
Note
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Last updated: 2008/06/13