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THE TRANSFORMATION OF DISCRETE VARIABLES
Annals of Human Genetics, 1955SummaryIn all data in which the response is all or none the application of tests of significance should take account of inevitable discontinuities and of possible divergencies from the normal model. The present paper discusses the application of the probability integral transform to discontinuous data in order that tests of significance based on ...
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Discrete Variable Structure Integral Controllers
IFAC Proceedings Volumes, 1996Abstract The paper deals with the analysis and the design of a class of robust discrete-time Variable Structure controllers of integral type. We refer to the Discontinuous Integral Control (DIC) as the basic technique for reducing the chattering of the system. A modified discretized version of the DIC algorithm is introduced and discussed.
BONIVENTO, Claudio +2 more
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Discrete Choice and Variable Returns to Scale
International Economic Review, 1981In previous studies of the probabilistic theory of qualitative choice (e.g., Marschak [1960] and McFadden [1974]), it has been assumed that an individual chooses among various alternatives with their utility levels independent of the number of individuals who choose each alternative.
Miyao, Takahiro, Shapiro, Perry
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Bayesian Optimization with Discrete Variables
2019Bayesian Optimization (BO) is an efficient method to optimize an expensive black-box function with continuous variables. However, in many cases, the function has only discrete variables as inputs, which cannot be optimized by traditional BO methods. A typical approach to optimize such functions assumes the objective function is on a continuous domain ...
Phuc Luong +4 more
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Functions of a Discrete Variable
1997In this chapter, the domain of definition of the functions under study is the multidimensional integer lattice of nodes $$ {\mathbb{Z}^n} = \left\{ {\beta :\beta = ({\beta _1},...,{\beta _n}),{\beta _j} = 0, \pm 1, \pm 2,....} \right\} $$ Consider the set of complex-valued functions f[β], on agreeing to put a discrete argument in brackets.
S. L. Sobolev, V. L. Vaskevich
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2012
Having been introduced to the basic probabilistic concepts in Chapters 3 and 4,we now begin their application to solving problems of interest. To do so we define the random variable. It will be seen to be a function, also called a mapping, of the outcomes of a random experiment to the set of real numbers.
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Having been introduced to the basic probabilistic concepts in Chapters 3 and 4,we now begin their application to solving problems of interest. To do so we define the random variable. It will be seen to be a function, also called a mapping, of the outcomes of a random experiment to the set of real numbers.
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2020
In many problems involving probability, we are not as much interested in the actual random outcome, but a function of this outcome. For example, in Section 1.4 where we discussed Freivalds’ algorithm, we considered a sample space of vectors \(r=[r_1,\dotsc ,r_n]^T\) where each \(r_i\) was either 0 or 1.
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In many problems involving probability, we are not as much interested in the actual random outcome, but a function of this outcome. For example, in Section 1.4 where we discussed Freivalds’ algorithm, we considered a sample space of vectors \(r=[r_1,\dotsc ,r_n]^T\) where each \(r_i\) was either 0 or 1.
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2019
This chapter introduced some special discrete random variables, i.e. binomial random variable and Bernoulli random variable, Poisson random variable, negative binomial random variable, geometric random variable, and hypergeometric random variable. The formulae for the basic parameters of these special discrete random variables have been provided.
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This chapter introduced some special discrete random variables, i.e. binomial random variable and Bernoulli random variable, Poisson random variable, negative binomial random variable, geometric random variable, and hypergeometric random variable. The formulae for the basic parameters of these special discrete random variables have been provided.
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Discrete Reaction Waves: Gasless Combustion of Solid Powder Mixtures
Progress in Energy and Combustion Science, 2008A S Mukasyan, A S Rogachev
exaly