Results 231 to 240 of about 4,948,826 (293)

Visualizing Mean, Median, Mean Deviation, and Standard Deviation of a Set of Numbers

The American Statistician, 2016
ABSTRACTWe review the existing visualizations of the mean and the median of a given set of numbers. Then we give an alternative visualization of the mean using the empirical cumulative distribution function of the given numbers. Next, we visualize the mean deviation (MD) and the mean square deviation (MSD) of the given numbers from any arbitrary value,
Jyotirmoy Sarkar, Mamunur Rashid
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Generalized-homogeneous deviation means

Publicationes Mathematicae Debrecen, 2022
A differentiable deviation mean \(M_{n,E}(x_ 1,x_ n)\) is the unique number E satisfying \(\min (x_ 1,...,x_ n)\leq M\leq \max (x_ 1,...,x_ n)\) and \(\sum^{n}_{i=1}E(x_ i,M)=0\) \((x_ i\in {\mathbb{R}}_+\), \(i=1,...,n)\) where \(y\mapsto E(x,y)\) is differentiable and strictly decreasing for all \(x\in {\mathbb{R}}_+\). Continuing their work [Colloq.
Daróczy, Z., Páles, Zs.
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Equivalence of linear deviation about the mean and mean absolute deviation about the mean objective functions

Operations Research Letters, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kenyon, C. M., Savage, S., Ball, B.
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STATISTICS OF THE MEAN DEVIATION METER

Canadian Journal of Physics, 1952
The mean deviation is evaluated for a number of distributions of a Poisson or similar type, such as arise with counters, scaling circuits, and in particular with the mean deviation meter described by Greenberg and Happ. The mean deviation for some distributions is fairly readily obtainable, but for the charge on a single tank circuit and also for the ...
Keeping, E. S., Happ, W. W.
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Inequalities for Deviation Means

1983
Let I ⊆ ℝ be an open interval. The function E: I2 → ℝ; is said to be a deviation on I if it has the following properties: (E1) For every fixed value x ∈ I, the function y → E(x,y) is strictly decreasing and continuous on I; (E2) E(x,x) = 0 for all x ∈ I.
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55. Mean Absolute Deviation and Standard Deviation

At bottom, both MAD and S measure how far, on average, individual observations lie from the sample’s central tendency. 
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Mean–Absolute Deviation Model

2010
We will survey important properties of the mean–absolute deviation (MAD) portfolio optimization model, which was introduced in 1990 to cope with very large–scale portfolio optimization problems. MAD model has been used for solving huge portfolio optimization models including internationally diversified investment model, long-term ALM model, mortgage ...
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The mean deviation

The Mathematical Gazette, 1985
B. L. Burrows, R. F. Talbot
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Credibilistic Mean-Absolute Deviation Model

2016
Mean-absolute deviation model was first proposed by Konno and Yamazaki (1991) for stochastic portfolio optimization by using absolute deviation risk function to replace variance. It removes most of the difficulties associated with Markowitz’s mean-variance model.
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