We develop multivariate extensions to two variance reduction techniques { nonlinear control variates for estimating expected values, and concomitants of order statistics for estimating a distribution (including expected values, probabilities, and percentiles). We allow the relationship between Y and the X variables to be nonlinear, and consider two cases { where the relationship is additive, an...

In this paper, the task of determining expected values of sample moments, where the sample members have been selected based on noisy information, is considered. Exact expressions for expected values of sums of products of concomitants of selected order statistics are derived. Then, using Edgeworth and Cornish-Fisher approximations, explicit results that depend on coefficients that can be determ...

Humans, being highly social creatures, rely heavily on the ability to perceive what others are doing and to infer from gestures and expressions what others may be intending to do. These perceptual skills are easily mastered by most, but not all, people, in large part because human action readily communicates intentions and feelings. In recent years, remarkable advances have been made in our und...

In this paper, the marginal distribution of concomitants k − record values (CKR) based on Huang–Kotz Farlie–Gumbel–Morgenstern (HK-FGM) family bivariate distributions is derived. addition, we obtained joint CKR for family. Also, hazard rate, reversed and residual life functions using HK-FGM The weighted extropy ...

This paper reports the application of hydrophobic deep eutectic solvents (HDES) as an environmentally friendly alternative for liquid-phase microextraction (LPME) Allura Red AC and Tartrazine in food products spectrophotometric determination these analytes. The HDES used this work were prepared by mixing octanoic acid (OctAc) or decanoic (DecAc) tetrabutylammonium bromide (N4444-Br) a molar rat...

Emphasizing research published in the past decade, this article presents a summary and evaluation of psychosocial investigations of women's reproductive health, with a focus on selected aspects of menstruation, pregnancy and birth, infertility, and menopause. In some areas, studies have focused on negative physical and psychological concomitants of these health issues. However, research reveals...

In this paper we introduce the class of Lp scale mixture random vectors which includes beta-independent random vectors and Lp Dirichlet ones. We derive several conditional limit results assuming that the associated random radius of the Lp scale mixture random vectors have distribution function in the max-domain of attraction of a univariate extreme value distribution function. As an application...

The parameter estimates based on an econometric equation are biased and can also be inconsistent when relevant regressors are omitted from the equation or when included regressors are measured with error. This problem gets complicated when the ‘true’ functional form of the equation is unknown. Here, we demonstrate how auxiliary variables, called concomitants, can be used to remove omitted-varia...

For Schwarzschild space-time, distributional expressions of energy-momentum densities and of scalar concomitants of the curvature tensors are examined for a class of coordinate systems which includes those of the Schwarzschild and of Kerr-Schild types as special cases. The energy-momentum density e T (x) of the grav-itational source and the gravitational energy-momentum pseudo-tensor density e ...