On Concentration and Revisited Large Deviations Analysis of Binary Hypothesis Testing
نویسنده
چکیده
This paper first introduces a refined version of the Azuma-Hoeffding inequality for discrete-parameter martingales with uniformly bounded jumps. The refined inequality is used to revisit the large deviations analysis of binary hypothesis testing.
منابع مشابه
Variational formulas for the power of the binary hypothesis testing problem with applications
Two variational formulas for the power of the binary hypothesis testing problem are derived. The first is given as the Legendre transform of a certain function and the second, induced from the first, is given in terms of the Cumulative Distribution Function (CDF) of the log-likelihood ratio. One application of the first formula is an upper bound on the power of the binary hypothesis testing pro...
متن کاملLINEAR HYPOTHESIS TESTING USING DLR METRIC
Several practical problems of hypotheses testing can be under a general linear model analysis of variance which would be examined. In analysis of variance, when the response random variable Y , has linear relationship with several random variables X, another important model as analysis of covariance can be used. In this paper, assuming that Y is fuzzy and using DLR metric, a method for testing ...
متن کاملThe False Discovery Rate in Simultaneous Fisher and Adjusted Permutation Hypothesis Testing on Microarray Data
Background and Objectives: In recent years, new technologies have led to produce a large amount of data and in the field of biology, microarray technology has also dramatically developed. Meanwhile, the Fisher test is used to compare the control group with two or more experimental groups and also to detect the differentially expressed genes. In this study, the false discovery rate was investiga...
متن کاملCorrelations and Predictions of THF + 2-Alkanol Binary Mixtures Behaviour by PC-SAFT Model and Friction Theory
In this article the behavior of tetrahydrofuran (THF) + 2-alkanol namely 2-propanol, 2-butanol, 2-pentanol, 2-hexanol and 2-heptanol binary mixtures through the density and viscosity measurements have been studied as a function of composition and within the temperature range of 293.15–313.15 K. The excess molar volume, isobaric thermal expansivity, partial molar volumes, and viscosity deviation...
متن کاملAcceptance sampling for attributes via hypothesis testing and the hypergeometric distribution
This paper questions some aspects of attribute acceptance sampling in light of the original concepts of hypothesis testing from Neyman and Pearson (NP). Attribute acceptance sampling in industry, as developed by Dodge and Romig (DR), generally follows the international standards of ISO 2859, and similarly the Brazilian standards NBR 5425 to NBR 5427 and the United States Standards ANSI/ASQC Z1....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1111.1992 شماره
صفحات -
تاریخ انتشار 2011