Distribution of the quotient of noncentral normal random variables

摘要: The Mellin convolution is used to derive in analytical form an exact 3-parameterprobabilitydensity function of the quotient two noncentral normal random variables. In contrast with 5-parameter probability density previously derivedby Fieller (1932) and Hinkley (1969), this 3-parameter feasible for computer evaluation mean cumulative distribution function, which are needed, example, when dealing estimation problems regression analysis sampling theory. When variables independent, reduces a 2-parameter program operational. An illustrative example given one set parameters themean functional presented, together brief tabulation function.