This paper reviews P´olya urn models and their connection to random trees. Basic results are presented, together with proofs that underly the historical evolution of the accompanying thought process. Extensions and generalizations are given according to chronology: • P´olya-Eggenberger’s urn • Bernard Friedman’s urn • Generalized P´olya urns • Extended urn schemes • Invertible urn schemes ...

Abstract Probabilistic pushdown automata (pPDA) are a standard operational model for programming languages involving discrete random choices, procedures, and returns. Temporal properties useful gaining insight into the chronological order of events during program execution. Existing approaches in literature have focused mostly on $$\omega $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/Math...

Penelitian ini bertujuan untuk menggambarkan bagaimana implementasi atau penerapan dari model pemebelajaran R2D2 (Recursive, Reflective Design And Development Model) dalam pembelajaran. Metode penelitian yang digunakan yaitu kepustakaan (Library Research). Adapun langkah-langkah sebagai berikut: pertama, data diperoleh oleh peneliti berupa buku, jurnal, artikel serta referensi terkait dengan ha...

In this paper, we solve higher index differential algebraic equations (DAEs) by transforming them into integral algebraic equations (IAEs). We apply collocation methods on continuous piece-wise polynomials space to solve the obtained higher index IAEs. The efficiency of the given method is improved by using a recursive formula for computing the integral part. Finally, we apply the obtained algo...

    M. and M.   Abstract: Existence and uniqueness of solution for singular 2-D systems depends on regularity condition. Simple regularity implies regularity and under this assumption, the generalized wave model (GWM) is introduced to cast singular 2-D system of equations as a family of non-singular 1-D models with variable structure.These index dependent models, along with a set of boundary co...

Using a queuing approach to describe a shared memory parallel computer system, it can be considered as a parallel computer system with a shared single ready queue. This can depict a single queue parallel server queuing model. Some models that are based on probability density function have been used to model the performance of the queuing system. This paper uses recursive models to evaluate the ...

We compare the performance of alternative recursive forecasting models. A simple constant gain algorithm, used widely in the learning literature, both forecasts well out of sample and also provides the best fit to the Survey of Professional Forecasters. D 2005 Elsevier B.V. All rights reserved.

A new model for statistical translation is presented. A novel feature of this model is that the alignments it produces are hierarchically arranged. The generative process begins by splitting the input sentence in two parts. Each of the parts is translated by a recursive application of the model and the resulting translation are then concatenated. If the sentence is small enough, a simpler model...