Title :
A fact about the logistic distribution
Author :
Willett, Peter ; Swaszek, Peter F.
Author_Institution :
Dept. of Electr. Eng., Connecticut Univ., Storrs, CT, USA
fDate :
7/1/1997 12:00:00 AM
Abstract :
For the problem of weak signal detection, the locally optimum test statistic for a known signal in independent and identically distributed (i.i.d.) noise of probability density function f(·) is given. We show that the logistic distribution is the only example for which the locally-optimal nonlinearity has a uniform distribution
Keywords :
noise; optimisation; probability; signal detection; statistical analysis; i.i.d. noise; independent identically distributed noise; locally optimal nonlinearity; locally optimum test statistic; logistic distribution; probability density function; uniform distribution; weak signal detection; Differential equations; Gaussian distribution; Logistics; Probability density function; Quantization; Signal detection; Signal mapping; Statistical analysis; Statistical distributions; Testing;
Journal_Title :
Information Theory, IEEE Transactions on
