“ garcia de galdeano ” garcía de galdeano seminario matemático n . 28
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چکیده
1. INTRODUCTION. In his 1974 book entitled " The Life and Times of the Central Limit Theorem, " Adams [1] describes this theorem as " one of the most remarkable results in all of mathematics " and " a dominating personality in the world of probability and statistics. " More than three decades later, his description is not only still pertinent but has also been corroborated and reinforced by developments in different branches of knowledge. In fact, the central limit theorem owes much of its importance to its proven application well beyond the field of probability. Diverse problems arising in economics, engineering, the social sciences, medicine, physics, chemistry, and other areas can be modelled in such a way that the central limit theorem comes into play. Empirically, one observes that a great many natural phenomena, such as the heights of individuals in a given population, obey an approximately normal distribution, that is, a symmetric bell-shaped distribution with scores more concentrated in the middle than in the tails (see Figure 1). One explanation suggested for this is that these phenomena are sums of a large number of independent random effects, none of which is predominant. Actually, the classical version of the central limit theorem asserts that the sum of many independent random variables is asymptotically normally distributed provided that each summand is small with high probability.
منابع مشابه
0 “ garcia de galdeano ” garcía de galdeano seminario matemático n . 25 PRE - PUBLICACIONES del seminario matematico 2001 J . M . Carnicer M . García - Esnaola
A bivariate polynomial interpolation problem for points lying on an algebraic curve is introduced. The geometric characterization introduced by Chung and Yao, which provides simple Lagrange formulae, is here analyzed for interpolation points lying on a line, a conic or a cubic.
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Principal lattices in the plane are distributions of points particularly simple to use Lagrange, Newton or Aitken-Neville interpolation formulas. Principal lattices were generalized by Lee and Phillips, introducing three-pencil lattices, that is, points which are the intersection of three lines, each one belonging to a different pencil. In this contribution, a semicubical parabola is used to co...
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As a sequel of [4], this paper is devoted to the computation of the digital fundamental group πd 1(O/S;σ) defined by loops in the digital object O for which the digital object S acts as an “obstacle”. We prove that for arbitrary digital spaces the group πd 1(O/S;σ) maps onto the usual fundamental group of the difference of continuous analogues |AO∪S | − |AS |. Moreover, we show that this epimor...
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The Campo de Dalias is an area with relevant seismicity associated to the active tectonic deformations of the southern boundary of the Betic Cordillera. A non-permanent GPS network was installed to monitor, for the first time, the fault- and fold-related activity. In addition, two high precision levelling profiles were measured twice over a one-year period across the Balanegra Fault, one of the...
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