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| Title Details: | |
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Tests for Composite Hypotheses |
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| Authors: |
Kolyva Machaira, Foteini Chatzopoulos, Stavros |
| Reviewer: |
Moyssiadis, Polychronis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > STATISTICS > PARAMETRIC INFERENCE |
| Keywords: |
Null Hypothesis (+)
Exponential Family Hypothesis Tests Test Statistic Alternative Hypothesis Power Critical Area Critical Value Likelihood Ratio Monotone Likelihood Ratio Uniformly Most Powerful Test Statistic Likelihood Significance Significance Level Composite Hypothesis Random Variable Random Sample |
| Description: | |
| Abstract: |
This chapter gives the meaning of the monotone likelihood ratio, theorems relating to this and theorems relating with uniformly most powerful test statistics.
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| Table of Contents: |
Monotone Likelihood Ratio -- Uniformly most Powerful Test Statistic -- Uniformly Most Powerful Test Statistic for One-sided Hypotheses -- Uniformly Most Powerful Test Statistic for Two-sided Hypotheses Η_0: θ ≤ θ_1 ή θ ≥ θ_2, Η_1: θ_1< θ < θ_2 -- Two-sided Hypotheses test Η_0: θ_1 ≤ θ ≤ θ_2, Η_1: θ < θ_1 ή θ > θ_2 -- Exercises.
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| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-sa/3.0/gr |
| Handle | http://hdl.handle.net/11419/1901 |
| Bibliographic Reference: | Kolyva Machaira, F., & Chatzopoulos, S. (2015). Tests for Composite Hypotheses [Chapter]. In Kolyva Machaira, F., & Chatzopoulos, S. 2015. Μαθηματική στατιστική [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/1901 |
| Language: |
Greek |
| Is Part of: |
Μαθηματική στατιστική |
| Typical Learning Time: |
PT04H30M00S |
| Publication Origin: |
Kallipos, Open Academic Editions |