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Simpson's paradox: A logically benign, empirically treacherous hydra [PDF]

, 2001
This article examines Simpson's paradox as applied to the theory of probabilites and percentages. The author discusses possible flaws in the paradox and compares it to the Sure Thing Principle, statistical inference, causal inference and probabilistic ...
Malinas, Gary
core   +1 more source

On Some Cauchy Type Mean-Value Theorems with Applications

Communications in Advanced Mathematical Sciences
Some Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
doaj   +1 more source

On weighted Simpson type inequalities and applications [PDF]

Journal of Mathematical Inequalities, 2007
In this paper we establish some weighted Simpson type inequalities and give several applications for the r − moments and the expectation of a continuous random variable. An approximation for Euler’s Beta mapping is given as well.
Tseng, Kuei-Lin, Yang, Gou-Sheng, Dragomir, Sever S   +2 more
openaire   +1 more source

On new Simpson’s type ınequalities for trigonometrically convex functions with applications

Cumhuriyet Science Journal, 2020
The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Holder, Holder-Iscan integral inequality and the power-mean, improved power-mean integral inequalities, and ...
Şenol Demir, S. Maden, I. Işcan, M. Kadakal   +3 more
semanticscholar   +1 more source

New indices to balance α-diversity against tree size inequality

Journal of Forest Research, 2023
The number and composition of species in a community can be quantified with α-diversity indices, including species richness (R), Simpson’s index (D), and the Shannon–Wiener index (H′\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \
Li Zhang, Brady K. Quinn, Cang Hui, Meng Lian, J. Gielis, Jie Gao, Peijian Shi   +6 more
semanticscholar   +1 more source

Exploring Quantum Simpson-Type Inequalities for Convex Functions: A Novel Investigation

Symmetry, 2023
This study seeks to derive novel quantum variations of Simpson’s inequality by primarily utilizing the convexity characteristics of functions. Additionally, the study examines the credibility of the obtained results through the presentation of relevant ...
S. Iftikhar, M. U. Awan, H. Budak
semanticscholar   +1 more source

Parameterized Simpson-like inequalities for differentiable Bounded and Lipschitzian functions with application example from management science

Journal of Applied Mathematics, Statistics and Informatics, 2023
In this paper, based on a given parameterized identity that generates a quadrature rule family similar to Simpson’s second formula, we establish some new Simpson-like type inequalities for functions with bounded as well as Lipchitzian derivatives from ...
N. Boutelhig, B. Meftah, W. Saleh, A. Lakhdari   +3 more
semanticscholar   +1 more source

New Integral Inequalities through Invexity with Applications

International Journal of Analysis and Applications, 2014
In this paper, we obtain some inequalities of Simpson’s inequality type for functions whose derivatives absolute values are quasi-preinvex function. Applications to some special means are considered.
Shahid Qaisar, Chuanjiang He, Sabir Hussain   +2 more
doaj   +2 more sources

New Quantum Mercer Estimates of Simpson-Newton-like Inequalities via Convexity

Symmetry, 2022
Recently, developments and extensions of quadrature inequalities in quantum calculus have been extensively studied. As a result, several quantum extensions of Simpson’s and Newton’s estimates are examined in order to explore different directions in ...
S. Butt, H. Budak, K. Nonlaopon
semanticscholar   +1 more source

Some generalized fractional integral Simpson’s type inequalities with applications

AIMS Mathematics, 2020
En el artículo, establecemos una identidad generalizada de tipo Simpson que contiene múltiples parámetros y derivamos algunas nuevas estimaciones para la regla de cuadratura de Simpson generalizada a través de las integrales fraccionarias de Raina. Como aplicaciones, proporcionamos varias desigualdades para las medidas de f -divergencia y las funciones
Sabir Hussain, Javairiya Khalid, Yu‐Ming Chu   +2 more
openaire   +3 more sources