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ON THE MAXIMUM DIFFERENCE BETWEEN THE EMPIRICAL AND EXPECTED HISTOGRAMS FOR SUMS
N independent distributed random variables curve Sn probability histogram
2015/7/14
Suppose Sn
is a sum of n independent and identically
distributed random variables with E\Xl\pproximately normal. A histogram of k copies of Sn
will be close to the ...
Calculation of Some Expected Values for Parameterized Mean Model with Gaussian Noise
Calculation Expected Values Parameterized Mean Model Gaussian Noise
2012/11/23
This document derives several expected values related to the parameterized mean model with Gaussian noise and their simplified forms.
Expected Patterns in Permutation Classes
Expected Patterns Permutation Classes Combinatorics
2012/6/15
In the set of all patterns in $S_n$, it is clear that each k-pattern occurs equally often. If we instead restrict to the class of permutations avoiding a specific pattern, the situation quickly become...
Maximizing Expected Utility for Stochastic Combinatorial Optimization Problems
ExpectedStochastic CombinatorialProblems
2012/12/4
We study the stochastic versions of a broad class of combinatorial problems where the weights of the elements in the input dataset are uncertain. The class of problems that we study includes shortest ...
The Expected Order of Saturated RNA Secondary Structures
Horton-Strahler number generating function Hankel contour Transfer Theorem singularity analysis
2011/9/9
Abstract: We show the expected order of RNA saturated secondary structures of size $n$ is $\log_4n(1+O(\frac{\log_2n}{n}))$, if we select the saturated secondary structure uniformly at random. Further...
The expected value for the weighted crossing number of a randomly weighted graph is studied. A variation of the Crossing Lemma for expectations is proved. We focus on the case where the edge-weights a...
Bias terms of measurement error in treatment by expected estimating equations
Estimating equations Bias Measurement error
2010/11/1
Inference for the effect of treatment on an outcome often suffers from the unavailability of valid measurements of treatment. Due to this, systematic errors in measurements of treatment occur frequent...
A stochastic model for the expected time to recruitment in a two grade manpower system having correlated inter-decision times and constant combined thresholds
Manpower planning Univariate recruitment policy
2010/11/1
In this paper, an organization having two grades in which depletion of manpower occurs at every decision epoch is considered. Using univariate max policy of recruitment, based on shock model approach ...
The Expected Perimeter in Eden and Related Growth Processes
Expected Perimeter Eden Related Growth Processes
2010/11/15
Following Richardson and using results of Kesten on First-passage percolation, we obtain an upper bound on the expected perimeter in an Eden Growth Process. Using results of the author from a problem...
Optimal stopping of expected profit and cost yields in an investment under uncertainty
variational inequalities cost yields expected profit
2010/4/27
We consider a finite horizon optimal stopping problem related to trade-off strategies between expected profit and cost cash-flows of an investment under uncertainty. The optimal problem is first formu...
Lattice Gas Automata Simulation of 2D site-percolation diffusion: Configuration dependence of the theoretically expected crossover of diffusion regime
random walk percolation lattices threshold value
2010/4/1
Theoretical analysis of random walk on percolation lattices has predicted that, at the occupied site concentrations of above the threshold value, a characteristic crossover between an initial sub-diff...
We study the behavior of some polynomial interior-point algorithms for solving random linear programming (LP) problems. We show that the expected and anticipated number of iterations of these algorith...
Rank dependent expected utility models of tax evasion
Tax evasion rank dependent expected utility dual theory
2014/6/27
In this paper the rank-dependent expected utility theory is substituted for the expected utility theory in models of tax evasion. It is demonstrated that the comparative statics results of the expecte...