Ελεγχοσυναρτήσεις για τις παραμέτρους της Κανονικής Κατανομής

• Κύριοι συγγραφείς: Kolyva Machaira, Foteini, Chatzopoulos, Stavros, Κολυβά Μαχαίρα, Φωτεινή, Χατζόπουλος, Σταύρος
• Μορφή: 7
• Γλώσσα: Greek
• Έκδοση: 2016
• Θέματα: ΥΠΟΘΕΣΕΙΣ; ΣΦΑΛΜΑ ΤΥΠΟΥ Ι; ΣΦΑΛΜΑ ΤΥΠΟΥ ΙΙ; ΕΛΕΓΧΟΣΥΝΑΡΤΗΣΕΙΣ; ΣΥΝΑΡΤΗΣΗ ΙΣΧΥΟΣ; ΣΤΑΘΜΗ ΣΗΜΑΝΤΙΚΟΤΗΤΑΣ; ΛΟΓΟΣ ΠΙΘΑΝΟΦΑΝΕΙΑΣ; Hypothesis Testing; Type I Error; Type Ii Error; Test Function; Power Function; Significance Level; Likelihood Ratio Test

The normal distribution has a prominent position both in Probability Theory and in Statistics, because the random variables expressing mathematically many problems follow a normal distribution, but also, because by applying the central limit theorem, the sample mean follows asymptotically the normal distribution. For this reason this book has devoted an entire chapter in testing hypothesis concerning the parameters, mean and variance, of the normal distribution. In chapters 2 and 3 the normal distribution was partially studied. In the second chapter, the tests were simple, while in the third chapter, the tests were composite, in the case where one of the two parameters were known. In this chapter we covered almost all cases of the parameters of one and two normal distributions.