Results on residual Rényi entropy of order statistics and record values

2010 ◽  
Vol 180 (21) ◽  
pp. 4195-4206 ◽  
Author(s):  
S. Zarezadeh ◽  
M. Asadi
Keyword(s):  
Order Statistics ◽  
Record Values ◽  
Renyi Entropy ◽  
Rényi Entropy

SOME NEW RESULTS ON RÉNYI ENTROPY OF RESIDUAL LIFE AND INACTIVITY TIME

2011 ◽  
Vol 25 (2) ◽  
pp. 237-250 ◽  
Author(s):  
Xiaohu Li ◽  
Shuhong Zhang
Keyword(s):  
Order Statistics ◽  
Residual Life ◽  
Random Variables ◽  
Record Values ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Weighted Distributions ◽  
Inactivity Time ◽  
Weighted Random Variables ◽  
Monotonic Properties

This article deals with Rényi entropies for the residual life and the inactivity time. Monotonic properties of the entropy in order statistics, record values, and weighted distributions are investigated, and the comparison on weighted random variables is studied in terms of residual Rényi entropy as well.

Residual Renyi entropy ofk-record values

2015 ◽  
Vol 45 (16) ◽  
pp. 4874-4885 ◽  
Author(s):  
P. S. Asha ◽  
Manoj Chacko
Keyword(s):  
Record Values ◽  
Renyi Entropy ◽  
Rényi Entropy

scholarly journals Characterizations of the Beta Kumaraswamy Exponential Distribution

Mathematics ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 23
Author(s):  
Zakeia A. Al-saiary ◽  
Rana A. Bakoban ◽  
Areej A. Al-zahrani
Keyword(s):  
Order Statistics ◽  
Exponential Distribution ◽  
Hazard Function ◽  
Real Data ◽  
Quantile Function ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Data Set ◽  
Skewness And Kurtosis

In this article, the five-parameter beta Kumaraswamy exponential distribution (BKw-E) is introduced, and some characterizations of this distribution are obtained. The shape of the hazard function and some other important properties—such as median, mode, quantile function, and mean—are studied. In addition, the moments, skewness, and kurtosis are found. Furthermore, important measures such as Rényi entropy and order statistics are obtained; these have applications in many fields. An example of a real data set is discussed.

Renyi Entropy Properties of Order Statistics

2010 ◽  
Vol 40 (1) ◽  
pp. 40-52 ◽  
Author(s):  
M. Abbasnejad ◽  
N. R. Arghami
Keyword(s):  
Order Statistics ◽  
Renyi Entropy ◽  
Rényi Entropy

scholarly journals Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part I. Single-particle states

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Jiaju Zhang ◽  
M.A. Rajabpour
Keyword(s):  
Excited States ◽  
Single Particle ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Large Momentum ◽  
Particle State ◽  
Two Dimensional ◽  
Universal Form ◽  
Conformal Field ◽  
Harmonic Chain

Abstract We investigate the Rényi entropy of the excited states produced by the current and its derivatives in the two-dimensional free massless non-compact bosonic theory, which is a two-dimensional conformal field theory. We also study the subsystem Schatten distance between these states. The two-dimensional free massless non-compact bosonic theory is the continuum limit of the finite periodic gapless harmonic chains with the local interactions. We identify the excited states produced by current and its derivatives in the massless bosonic theory as the single-particle excited states in the gapless harmonic chain. We calculate analytically the second Rényi entropy and the second Schatten distance in the massless bosonic theory. We then use the wave functions of the excited states and calculate the second Rényi entropy and the second Schatten distance in the gapless limit of the harmonic chain, which match perfectly with the analytical results in the massless bosonic theory. We verify that in the large momentum limit the single-particle state Rényi entropy takes a universal form. We also show that in the limit of large momenta and large momentum difference the subsystem Schatten distance takes a universal form but it is replaced by a new corrected form when the momentum difference is small. Finally we also comment on the mutual Rényi entropy of two disjoint intervals in the excited states of the two-dimensional free non-compact bosonic theory.

scholarly journals Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix

2020 ◽  
Vol 8 (1) ◽  
pp. 22-35
Author(s):  
M. Shakil ◽  
M. Ahsanullah
Keyword(s):  
Order Statistics ◽  
Condition Number ◽  
Record Values ◽  
Distributional Properties ◽  
Upper Record Values ◽  
Upper Record

AbstractThe objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties of the distribution of the condition number of a complex Gaussian matrix are given. Based on such distributional properties, some characterizations of the distribution are given by truncated moment, order statistics and upper record values.

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