Show that the product of the sample observations is a sufficient statistic for 0 > 0 if the random sample is taken from a gamma distribution with parameters a = and 8 = 6.
Show that the product of the sample observations is a sufficient statistic for 0 > 0 if the random sample is taken from a gamma distribution with parameters a = and 8 = 6.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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how to show that the product of the sample observations is a suffcient statistic for theta>0 if the random sample is taken from a gamma distribution with parameters a = theta and B = 6?
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![Show that the product of the sample observations is a sufficient statistic for \( \theta > 0 \) if the random sample is taken from a gamma distribution with parameters \( \alpha = \theta \) and \( \beta = 6 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15feef40-32fb-4401-88ed-794608a5d767%2Fa36661dd-f43b-48f5-ab76-cc073ca5147a%2Fmnrqy6un_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show that the product of the sample observations is a sufficient statistic for \( \theta > 0 \) if the random sample is taken from a gamma distribution with parameters \( \alpha = \theta \) and \( \beta = 6 \).
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