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Independent and identically distributed random variables

ON THE DISTRIBUTION OF THE MAXIMUM OF SUMS OF A SEQUENCE OF INDEPENDENT AND IDENTICALLY DISTRIBUTED RANDOM VARIABLES.

ON THE DISTRIBUTION OF THE MAXIMUM OF SUMS OF A SEQUENCE OF INDEPENDENT AND IDENTICALLY DISTRIBUTED RANDOM VARIABLES.

... of random walks in the ...of random walks in the subexponen- tial case and two-boundary problems for ...the random walk {S n }, n ≥ 1 with the negative drift M ξ 1 = −m < 0 ...

5

Convergence to a self-normalized G-Brownian motion

Convergence to a self-normalized G-Brownian motion

... of random variables and the notions of the G-normal random variable, G-Brownian motion, independent and identically distributed random variables, ...

25

On the constant in the nonuniform version of the Berry Esseen theorem

On the constant in the nonuniform version of the Berry Esseen theorem

... for independent and identically distributed random ...nonidentically distributed random variables with arbitrary index ...

17

On the weak law of large numbers for normed weighted sums of I I D  random variables

On the weak law of large numbers for normed weighted sums of I I D random variables

... Weighted sums of independent and identically distributed random variables, weak law of large numbers, convergence in probability, random indices, strong law of large numbers, almost cert[r] ...

12

Limit theorems for empirical Fréchet means of independent
and non identically distributed manifold valued
random variables

Limit theorems for empirical Fréchet means of independent and non identically distributed manifold valued random variables

... nonidentically distributed case we are also able to clarify the set of conditions required for the result, by exploit- ing the idea of central approximation rather than central limits, and we can derive a rather ...

31

A Robust Estimator of R = P(X > Y ) of Heavy tailed Distributions and its Sampling Distributions

A Robust Estimator of R = P(X > Y ) of Heavy tailed Distributions and its Sampling Distributions

... two independent but not identically distributed random variables following Pareto type I distribution, with parameters α 1 and α 2 ...

5

Rates of convergence of lognormal extremes under power normalization

Rates of convergence of lognormal extremes under power normalization

... Theorem . Let {Xn , n ≥ } denote an independent identically distributed random variables sequence with common df F following the lognormal distribution.. 4 Proofs First of all, we pro[r] ...

10

Moment-Generating Functions and Reproductive Properties of Distributions

Moment-Generating Functions and Reproductive Properties of Distributions

... the random variable is discrete or ...a random variable with probability distribution are ...of independent, identically distributed random variables and obtaining various ...

7

Some conclusions of the exchangeable random variables and the independent identical distribution random variables

Some conclusions of the exchangeable random variables and the independent identical distribution random variables

... exchangeable random variables sequences, the Definetti’s theorem does not work to finite exchangeable random variables sequences, it is therefore necessary to find other techniques to solve ...

6

Sums of independent random variables and regular variation

Sums of independent random variables and regular variation

... i.i.d. random variables, and a simple derivation of the law of the iterated ...at independent but not necessarily identically distributed random ...

179

STRONG RESULT & ASYMPTOTIC ESTIMATES OF REAL ZEROS OF RANDOM POLYNOMIALS

STRONG RESULT & ASYMPTOTIC ESTIMATES OF REAL ZEROS OF RANDOM POLYNOMIALS

... Keywords and phrases: Independent, identically distributed random variables, random algebraic polynomial, random algebraic equation, real roots, domain of attraction of the n[r] ...

8

AVERAGE NUMBER OF REAL ZEROS OF RA NDOM TRIGONOMETRIC POLYNOMIAL

AVERAGE NUMBER OF REAL ZEROS OF RA NDOM TRIGONOMETRIC POLYNOMIAL

... KEYWORDS AND PHRASES: Independent, identically distributed random variables, random algebraic polynomial, random algebraic equation, real roots, domain of attraction of.. the nor[r] ...

7

Order Statistics from Non-Identical Standard Type II Generalized Logistic Variables and Applications at Moments

Order Statistics from Non-Identical Standard Type II Generalized Logistic Variables and Applications at Moments

... from independent non-identically distributed Standard type II generalized logistic random variables using the moment generating function ...

5

A important method for the probability limit theory of exchangeable random variables

A important method for the probability limit theory of exchangeable random variables

... finite random variable sequence X X 1 , 2 , L , X n is ...the independent and identically distributed random variable sequence is the simplest exchangeable random variable ...of ...

6

On joint distributions of order statistics for a discrete case

On joint distributions of order statistics for a discrete case

... for random samples from a con- tinuous multivariate distribution was defined by Corley ...innid random vectors as a linear combination of prob- abilities of the functions of independent and ...

12

Tail Behavior of Threshold Models with Innovations in the Domain of Attraction of the Double Exponential Distribution

Tail Behavior of Threshold Models with Innovations in the Domain of Attraction of the Double Exponential Distribution

... general, the coefficient and the noise are assumed to be independent. The latter condition is often not satisfied in applications. Diop and Guégan [5] studied the threshold autoregressive stochastic volatility ...

6

Anti-concentration for Polynomials of Independent Random Variables

Anti-concentration for Polynomials of Independent Random Variables

... of random graphs (see, for instance, the textbooks [5, ...a random subgraph of any deterministic graph G on N vertices formed by choosing each edge of G with probability ...this random variable by F ...

17

A graphical framework for representing the semantics of asymmetric models

A graphical framework for representing the semantics of asymmetric models

... The point to notice here is that a BN could never fully express the qualitative structure of the events graphically, and the more complicated the regulatory model the more that is lost. On the other hand, we demonstrate ...

8

Several Inequalities on Moment of Uncertain Variables

Several Inequalities on Moment of Uncertain Variables

... uncertain variables is usually an uncertain ...two independent and identical distributed uncertain variables, we know that the difference of ...

6

Panel data Fixed Effect Model for Profitability Determinants: Referencing to S&P BSE Sensex

Panel data Fixed Effect Model for Profitability Determinants: Referencing to S&P BSE Sensex

... explanatory variables or ...is random effects panel ...either random or not random but correlated with explanatory variables, and it represents a subject specific ...Whereas ...

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