We consider a single cell single input multiple output (SIMO) system employing orthogonal frequency division multiplexing (OFDM). In such systems, setting the pilot-to-data power ratio (PDPR) has a large impact on the spectral and energy efficiency. In this paper we provide a closed form solution for the mean square error (MSE) of the received data as a function of the PDPR assuming Gaussian ch...

Non-data-aided (NDA) signal-to-noise-ratio (SNR) estimation is considered for binary phase shift keying systems where the data samples are governed by a normal mixture distribution. Inherent estimation accuracy limitations are examined via a simple, closed-form approximation to the associated Cramer-Rao Bound which eliminates the need for numerical integration. The Expectation-Maximization algo...

The empirical likelihood ratio method is a general nonparametric inference procedure that has many desirable properties. Recently, the procedure has been generalized to several settings including testing of weighted means with right censored data. However, the computation of the empirical likelihood ratio with censored data and other complex settings is often non-trivial. We propose to use a se...

In statistical pattern recognition, it is important to avoid density estimation since density estimation is often more difficult than pattern recognition itself. Following this idea—known as Vapnik’s principle, a statistical data processing framework that employs the ratio of two probability density functions has been developed recently and is gathering a lot of attention in the machine learnin...

Recent reports have described that the equivalent sample size (ESS) in a Dirichlet prior plays an important role in learning Bayesian networks. This paper provides an asymptotic analysis of the marginal likelihood score for a Bayesian network. Results show that the ratio of the ESS and sample size determine the penalty of adding arcs in learning Bayesian networks. The number of arcs increases m...

We investigate a class of distributionally robust optimization problems that have direct applications in finance. They are semi-infinite programming problems with ambiguous expectation constraints in which fractional functions represent reward-risk ratios. We develop a reformulation and algorithmic data-driven framework based on the Wasserstein metric to model ambiguity and to derive probabilis...

Generalization of Mantel-Haenszel procedure for 2 x J (J > 2) tables is reviewed. Included are generalized Mantel-Haenszel tests, estimators for a common odds ratio, and generalized Breslow-Day test for the homogeneity of odds ratios across the strata.-Environ Health Perspect 102(Suppl 8): 57-60 (1994)

INTRODUCTION This chapter provides the formulae and examples for calculating crude and adjusted point estimates and confidence intervals for: risk ratios and differences; odds ratios; incidence rate ratios and differences; and etiologic and prevented fractions. The tests for interaction are also presented. First, the estimates from a single 2x2 table (“count” data) are presented followed by est...