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ESTIMATION OF THE PARAMETERS OF A NORMAL DISTRIBUTION WHEN THE MEAN IS RESTRICTED TO AN INTERVAL 1
Author(s) -
Heiny Robert L.,
Siddiqui M. M.
Publication year - 1970
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1970.tb00227.x
Subject(s) - estimator , mathematics , statistics , normal distribution , distribution (mathematics) , mathematical analysis
Summary Suppose it is known that the mean of a normal distribution is non‐negative. Naturally one will use the sample mean truncated at zero as an estimator of the distribution mean. In this paper the properties of such an estimator are investigated.