Abstract
Abstract The maximum likelihood estimate for the non-centrality parameter of a non-central χ2 distribution with two degree of freedom is obtained. This estimate is expressed as a solution of an equation involving Bessel functions of order 0 and 1, of purely imaginary argument, both of which are tabulated. The derivation rests mainly on a lemma dealing with limit and monotonicity properties of a function representable as a quotient of two Bessel functions. An asymptotic result is also given.
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