Keywords: 62H20; 62G30; 62E10; 60E15; Maximal correlation; Orthogonal polynomials; Tridiagonal matrices; Order statistics;
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Keywords: C02; 60E15; Extremality order; Maximal generator; Order-isomorphism; Order-preserving mapping; Partial order;
Keywords: primary; 60E15; secondary; 60K10; 62N05; Aging classes; Dependence properties; Scale change model; Stochastic orders;
Keywords: 60E15; 62N05; 62G30; 62D05; Capital allocation; Elliptical distribution; Mean-Variance; Multivariate regular variation; Quadratic distance;
Keywords: 46B06; 60E15; Khintchine inequality; Rademacher random variables; k-wise independent random variables;
Keywords: 60E15; 62G07; 62G08; Concentration inequality; Itô integral; Nonparametric function estimation;
Keywords: 60E15; 62N05; 62G30Peakedness; Majorization; Stochastically arrangement increasing; Log-concavity; Schur-concave [Schur-convex]
Keywords: 60E15; 62G30; 62D05; 62N05Birnbaum–Saunders distribution; Log Birnbaum–Saunders distribution; Usual stochastic order; Parallel systems; Series systems; Majorization
Keywords: 60E15; 60F15Regression operator; Modified kernel estimator; Functional time series data; Asymptotic normality
Keywords: 60E15; 62N05; 62E10Residual entropy; Residual quantile entropy order; Closure and reversed closure property; Proportional odds model; Survival copula
Keywords: 60E15; Random walk; Two-sided boundary crossing problem; Ruin probability; Sequential probability ratio test;
Keywords: primary; 60E15; secondary; 62H05; 62N05; Exchangeable random variables; Freund-Weinman multivariate exponential distribution; Hazard rate increasing upon failure; Multivariate total positivity; Sequential order statistics; Symmetrized density function;
Preservation of DMRL and IMRL aging classes under the formation of order statistics and coherent systems
Keywords: 62K10; 60E15; 90B25; Mean residual life; Order statistics; Coherent systems; Distorted distributions;
New and refined bounds for expected maxima of fractional Brownian motion
Keywords: 60G22; 60G15; 60E15; Fractional Brownian motion; Convergence rate; Discrete time approximation; Pickands' constant;
Strong modified transportation cost inequalities on k-concave probability measures with heavy tails
Keywords: 60E15; 60E05; Strong modified transportation cost inequalities; Polynomial-type concentration inequalities; Dual representation; Tensorization; k-concave probability measures;
Optimal allocation of active redundancies in weighted k-out-of-n systems
Keywords: primary; 90B25; secondary; 60E15; 60K10; Active redundancies; Weighted k-out-of-n system; Usual stochastic order; Optimal allocation;
Efron's monotonicity property for measures on R2
Keywords: 60E15; 62E10; Covariance identity; Log-concave; Functional inequality; Monotonicity; Measurement error;
Quantile-based cumulative inaccuracy measures
Keywords: 94A17; 60E15; 62B10; 62N05; Quantile function; Cumulative residual (past) inaccuracy; Reliability measures; Proportional (reversed) hazards model; Equilibrium distributions;
Quantile based Tsallis entropy in residual lifetime
Keywords: 94A17; 62E10; 62N05; 60E15; Residual quantile Tsallis entropy; Quantile function; Proportional hazards model; Reliability measures; Stochastic comparisons; Characterizations;
On inequalities for values of first jumps of distribution functions and Hölder's inequality
Keywords: 60E15; 60F15; Bonferroni inequalities; Chung-ErdÅs inequality; Bounds for probabilities of unions of events; Jumps of distribution function; Hölder inequality; Borel-Cantelli lemma;
Self-normalized deviation inequalities with application to t-statistic
Keywords: primary; 60E15; 60F10; Self-normalized deviations; Student's t-statistic; Exponential inequalities;
A note on Slepian's inequality based on majorization
Keywords: 60E15; 60E05; Slepian's inequality; Majorization; Multivariate normal distribution;
Exponential inequalities and complete convergence for a LNQD sequence
Keywords: 60E15; 60F15; Linearly negative quadrant dependent sequence; Negative quadrant dependent sequence; Exponential inequalities; Complete convergence;
New deviation inequalities for martingales with bounded increments
Keywords: 60E15; Hoeffding's inequality; Bennett's inequality; Martingales with bounded increments; Freedman's inequality; Deviation inequalities; Bounded differences inequality;
Weak supermajorization and families as doubly superstochastic operators on âp(I)
Keywords: 47B60; 15B51; 39B62; 60E15; Weak supermajorization; Row, column and doubly superstochastic operators; Permutation;
The MLE of the mean of the exponential distribution based on grouped data is stochastically increasing
Keywords: 60E15; 62F10; Grouping; The exponential distribution; The usual stochastic order; Fixed point theorem;
New developments on the Lp-metric between a probability distribution and its distortion
Keywords: 60E15; The convex order; The dilation order; The Lorenz order; The excess wealth order; The location-independent risk order; The star order;
Ordering properties of order statistics from heterogeneous exponentiated Weibull models
Keywords: 60E15; 60K10Order statistics; Majorization; Reversed hazard rate order; Likelihood ratio order
Asymptotic stochastic dominance rules for sums of i.i.d. random variables
Keywords: 60E15; 60E07; 91GXX; 91G10Asymmetry; Heavy tails; Stable Paretian distribution; Stochastic dominance
Some new results on the Rényi quantile entropy Ordering
Keywords: 60E15; 62N05; 62E10; Rényi's residual quantile entropy; Rényi residual quantile entropy order; Closure property; Proportional odds model; Record values model;
Stochastic dominance and statistical preference for random variables coupled by an Archimedean copula or by the Fr e ´ chet-Hoeffding upper bound
Keywords: 60E15; 62H30; Stochastic dominance; Statistical preference; Archimedean copula; Comonotone random variables; Countermonotone random variables;
Logarithmic Sobolev inequalities for fractional diffusion
Keywords: 60E15; 60H15Logarithmic Sobolev inequality; Fractional Brownian motion; Path space
Sobolev inequalities for harmonic measures on spheres
Keywords: 60E15; 39B62; 26Dxx; Harmonic measures; Unit spheres; Sobolev inequalities; Poincaré inequalities; Logarithmic Sobolev inequalities;
Further results on closure properties of LPQE order
Keywords: 60E15; 62N05; 62E10Past entropy; LPQE order; Random parallel system; Reversed closure property; Risk aversion transform; Proportional failure rate model; Pareto random variable
Ordering properties of order statistics from random variables of Archimedean copulas with applications
Keywords: 60E15; 90B25Hazard rate order; Likelihood ratio order; Majorization; Proportional hazards
Mixture representation for order statistics from INID progressive censoring and its applications
Keywords: 60E05; 60E15; 62N01INID progressive censoring; Multivariate stochastic order; Mixtures; Order statistics for independent non-identically distributed variates; Permanents; Majorization
MRL order, log-concavity and an application to peacocks
Keywords: 60E15; 60G44; 60J25; 32F17; MRL order; Log-concavity; Peacocks; Martingales; Markov processes;
Moment bounds for dependent sequences in smooth Banach spaces
Keywords: 60E15; 60G48; 37E05Moment inequalities; Smooth Banach spaces; Empirical process; Young towers; Wasserstein distance
Lp-metric under the location-independent risk ordering of random variables
Keywords: 60E15; Distortion function; The excess wealth order; The location-independent risk order; Order statistics; Variability;
Wasserstein-Divergence transportation inequalities and polynomial concentration inequalities
Keywords: 60E15; 60E05Wasserstein distance; Rényi divergence; Transportation inequalities; Polynomial concentration inequalities
Schur2-concavity properties of Gaussian measures, with applications to hypotheses testing
Keywords: primary; 60E15; 62H15; 62F05; 62G20; secondary; 60D05; 62E15; 62E20; 51F15; 53C65; Probability inequalities; Geometric probability; Gaussian measures; Multivariate normal distribution; Mixtures; Majorization; Stochastic ordering; Schur convexity; Hypothes
Logarithmic Sobolev inequalities for harmonic measures on spheres
Keywords: 60E15; 39B62; 26Dxx; Harmonic measure; Poincaré inequality; Logarithmic Sobolev inequality; Transportation inequality;
Optimal reinsurance with concave ceded loss functions under VaR and CTE risk measures
Keywords: 60E15; 62P05; Optimal reinsurance; Value-at-risk (VaR); Conditional tail expectation (CTE); Increasing concave function; Quota-share reinsurance; Full reinsurance; Expectation premium principle;
A prophet inequality for L2-martingales
Keywords: 60G40; 60E15; 60G42; Prophet inequality; Optimal stopping; Martingale;
Exact Rosenthal-type inequalities for p=3, and related results
Keywords: 60E15; Rosenthal inequality; Bounds on moments; Sums of independent random variables; Probability inequalities;
Comparison of conditional expectations of functions of strong N-demimartingales and functions of sums of conditionally independent random variables
Keywords: 60E15; 60G48FF-demimartingales; Conditional N-demimartingales; Conditional association; Conditional expectation; Conditional covariance
Stochastic comparisons of series systems with heterogeneous Weibull components
Keywords: 60E15; 62N05; 62G30; 62D05Series systems; Dispersive order; Reserved hazard rate order; Convex transform order; Majorization
Sharp bounds on the expected shortfall for a sum of dependent random variables
Keywords: 60E15; 91B30Dependence bounds; Expected shortfall; Rearrangement algorithm
Stochastic order characterization of uniform integrability and tightness
Keywords: 60E15; 60B10; 60F25Strong stochastic order; Increasing convex order; Stochastic domination; Bounded in probability; Hardy–Littlewood maximal random variable
Comparison of concentration for several families of income distributions
Keywords: 60E15; Gamma generalized distribution; Type I and II Beta generalized distributions; Inequality; Starshaped, expected proportional shortfall; Lorenz orders;