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THEOREM 3.3. If X EXP (^,), Y` EXP 2), X and Yare in- dependent, and A + A2, then Z = X + Y has a two-stage hy- poexponential distribution with parameters , and A2; that is, Z HYPO (A1, A2).

THEOREM 3.3. If X EXP (^,), Y` EXP 2), X and Yare in- dependent, and A + A2, then Z = X + Y has a two-stage hy- poexponential distribution with parameters , and A2; that is, Z HYPO (A1, A2).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Prove the theorem

THEOREM 3.3. If X` EXP (A,), Y¯ EXP (1 2), X and Y are in- dependent, and A # 12, then Z = X + Y has a two-stage hy- poexponential distribution with parameters A, and A2; that is, Z HYPO (λ1, λ). CS Scanned with CamScanner
Transcribed Image Text:THEOREM 3.3. If X` EXP (A,), Y¯ EXP (1 2), X and Y are in- dependent, and A # 12, then Z = X + Y has a two-stage hy- poexponential distribution with parameters A, and A2; that is, Z HYPO (λ1, λ). CS Scanned with CamScanner
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