Probability of TiesMarkov PropertyIt is well known that, in the continuous case, the probability that two consecutive order statistics are equal to zero, whereas it is not true when the distribution is discrete. It is, perhaps, for this reason that order statistics from discrete distributions ...
Hence, the estimated probability for a site with non-rocky soil type (NRST) is: ψˆNRST=exp(−1.1+1.8×0)1+exp(−1.1+1.8×0)=exp(−1.1)1+exp(−1.1)=0.331+0.33=0.25. To calculate the standard error we need to evaluate the vector of partial derivatives, h′(βˆ), and...
function and density function of double parameter exponential type distribution,discusses some important distribution properties of order statistics of double parameter exponential type distribution.It proves the random variable following the double parameter exponential type distribution including X_(1),X_(2...
Therefore, the observations are categorized by X into several groups (a discrete variable), and each group could have sample λ of integrals other than 0 and 1, which fits the Poisson distribution. However, if we use designed X for the representation of age in the unit of ...
We present semi-supervised information maximizing self-argument training (IMSAT), a neural network-based classification method that works without the preparation of labeled data. Semi-supervised IMSAT can amplify specific differences and avoid undesirable misclassification in accordance with the purpose. We...
Computer Science - Discrete MathematicsMathematics - ProbabilityIn this article we present a statistical version of the Candes-Tao restricted isometry property (SRIP for short) which holds in general for any incoherent dictionary which is a disjoint union of orthonormal bases. In addition, under ...
In the first part of this paper, we introduce the notion of switch-stability for set of probabilities and prove that it is equivalent to the notion of optional m-stability. In the second part this notion is generalized to set of processes and prove that it is linked to the former notion...
A discrete-time stochastic process X={X(t)}t∈N is said to be self-similar if the statistical description of its finite-dimensional distribution is equal to that of the process obtained by scaling the amplitude by a−H and its time axis by a, where H (0<H<1, H∈ℝ) denotes ...
The flowing bulk fluid causes a displacement by acting on the free part of the fluid causing a substitution of that region due to channeling, variation in porosity and or fibre size distribution [59] as shown in Fig. 8. The displacing fluid operates such that it creates a concentration ...
environment data, data from sensors, sensor data, application data, implicit data, explicit data, etc. Inference can be employed to identify a specific context or action, or can generate a probability distribution over states of interest based on a consideration of data and events, for example....