Results 71 to 80 of about 94,783 (262)

Approximation of the semi-infinite interval

International Journal of Mathematics and Mathematical Sciences, 1980
The approximation of a function f∈C[a,b] by Bernstein polynomials is well-known. It is based on the binomial distribution. O. Szasz has shown that there are analogous approximations on the interval [0,∞) based on the Poisson distribution.
A. McD. Mercer
doaj   +1 more source

An Economic Analysis of Difficulty Adjustment Algorithms in Proof‐of‐Work Blockchain Systems

International Economic Review, EarlyView.
ABSTRACT We study the stability of cryptocurrency systems through difficulty adjustment. Bitcoin's difficulty adjustment algorithm (DAA) exhibits instability when the reward elasticity of the hash rate is high, implying that a sharp price reduction could disrupt the current Bitcoin system.
Shunya Noda, Kyohei Okumura, Yoshinori Hashimoto   +2 more
wiley   +1 more source

Limit theorems for the multivariate binomial distribution

Journal of Multivariate Analysis, 1986
Let \(X_ n\) have a k-dimensional binomial distribution \(B_ k(n,p_ n)\), \(p_ n=(p_{nl},...,p_{nk})\), the distribution of the sum of n independent and identically distributed k-dimensional random vectors that take all their values in the set of vertices of the unit cube in \(R^ k\) (not necessarily just those on the axes, that is the multinomial ...
Jerry Alan Veeh, William N. Hudson, Howard G. Tucker   +2 more
openaire   +3 more sources

Winning is not the only metric: the complexity of control manipulation in knockout tournaments for a redefined goal

International Transactions in Operational Research, EarlyView.
Abstract We study control manipulation by generalizing the notion of success in knockout tournaments. The definition of success can be broadened to include other concepts of accomplishment rather than focusing solely on the identity of the tournament winner. Manipulation can be done in favor of diverse stakeholders.
Hadassa Daltrophe, Tammar Shrot, Lior Aronshtam   +2 more
wiley   +1 more source

Some combinatorial identities involving noncommuting variables [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
We derive combinatorial identities for variables satisfying specific sets of commutation relations. The identities thus obtained extend corresponding ones for $q$-commuting variables $x$ and $y$ satisfying $yx=qxy$.
Michael Schlosser, Meesue Yoo
doaj   +1 more source

Poisson count time series

Journal of Time Series Analysis, EarlyView.
This article reviews and compares popular methods, some old and some recent, that produce time series having Poisson marginal distributions. The article begins by narrating ways where time series with Poisson marginal distributions can be produced.
Jiajie Kong, Robert Lund
wiley   +1 more source

Arbitrage Theorem and its Applications

Theory, Methodology, Practice, 2002
In my article I describe the concept of financial rate of return and the value of return in a very simple model first. Then as generalisation of the model we take an experiment, which has n possible outcomes.
Tamás Nagy
doaj  

Markov Determinantal Point Process for Dynamic Random Sets

Journal of Time Series Analysis, EarlyView.
ABSTRACT The Law of Determinantal Point Process (LDPP) is a flexible parametric family of distributions over random sets defined on a finite state space, or equivalently over multivariate binary variables. The aim of this paper is to introduce Markov processes of random sets within the LDPP framework. We show that, when the pairwise distribution of two
Christian Gouriéroux, Yang Lu
wiley   +1 more source

Tests for Changes in Count Time Series Models With Exogenous Covariates

Journal of Time Series Analysis, EarlyView.
ABSTRACT We deal with a parametric change in models for count time series with exogenous covariates specified via the conditional distribution, i.e., with integer generalized autoregressive conditional heteroscedastic models with covariates (INGARCH‐X).
Šárka Hudecová, Marie Hušková
wiley   +1 more source

New Laguerre-polynomials’ generating functions derived by virtue of operator Hermite-polynomial method and entangled state representation

AIP Advances
In this paper, we derive two new generating functions of Laguerre-polynomials, which look like the negative binomial theorem for the Laguerre function Lnx, by adopting the bi-partite entangled state representation and the operator-Hermite-polynomial HnX ...
Ke Zhang, Hong-Yi Fan
doaj   +1 more source