Multivariate Statistical Analysis.

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Abstract:

The report is divided into two parts. The first part presents minimum variance unbiased estimation for truncated Poisson processes. The feature of this part is the application of Poincares formula and certain combinatorial results for the derivation of the distribution of the sum of independent Poisson variables truncated away from zero. The second part presents explicit expressions for the minimum variance unbiased estimates of certain functions of the parameters of the logarithmic, The Poisson, and the negative binomial distribution under general truncation on the left. Each of these distributions is treated as a special case of a generalized power series distribution. Author

Author(s):
Cacoullos, T. ; Charalambides, Ch.
Author Organization(s):
ATHENS UNIV (GREECE) STATISTICAL UNIT
Descriptive Note:
Final scientific rept. 1 Jun 70-30 Jun 71,
Pagination:
0021

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
ARL-73-0159
Contract/Grant Number(s):
F61052-70-C-0027
Task Number(s):
707100
Project Number(s):
AF-7071
Monitor Series:
73-0159
 Subject Terms
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*Multivariate analysis, Estimates, Probability density functions, Combinatorial analysis, Analysis of variance, Sampling, Theorems, Greece
Field(s)/Group(s):
Statistics and Probability
Keyword(s):
Poisson processes, Maximum likelihood estimation
Report Date:
1972 Jun 01