JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Optimal Weights for a Vector of Independent Poisson Random Variables
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Optimal Weights for a Vector of Independent Poisson Random Variables
Kim, Joo-Hwan;
  PDF(new window)
 Abstract
Suppose one is given a vector X of a finite set of quantities which are independent Poisson random variables. A null hypothesis about E(X) is to be tested against an alternative hypothesis . A quantity is to be computed and used for the test. The optimal values of are calculated for three cases: (1) signal to noise ratio is used in the test, (2) normal approximations with unequal variances to the Poisson distributions are used in the test, and (3) the Poisson distribution itself is used. The above three cases are considered to the situations that are without background noise and with background noise. A comparison is made of the optimal values of in the three cases for both situations.
 Keywords
Poisson signal;Hypothesis testing;Background noise;Power;Optimal weights;
 Language
English
 Cited by
 References
1.
Los Alamos National Laboratory, LA-87-3140, 1987.

2.
An Introduction to Probability Theory and Its Applications: Volume Ⅱ(Third Ed.), 1970.

3.
Los Alamos National Lab., LA-UR-86-3101, 1986.

4.
The Korean Communications in Statistics, 1995. vol.2. 2, pp.166-175

5.
The Korean Communications in Statistics, 1996. vol.3. 1, pp.243-255

6.
The Korean Communications in Statistics, 1997. vol.4. 1, pp.229-241

7.
The Korean Communications in Statistics, 1998. vol.5. 2, pp.503-515

8.
Testing Statistical Hypotheses(2nd Edition.), 1986.

9.
Introduction to Linear and Nonlinear Programming, 1973.

10.
An Introduction to Probability Theory and Mathematical Statistics, 1976.