law of large numbers


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law of large numbers

n.
The rule or theorem that a large number of items chosen at random from a population will, on the average, have the characteristics of the population. Also called Bernoulli's law.
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From Theorems 5 and 6, we can obtain easily the strong law of large numbers for countable Markov chains indexed by a Cayley tree [16] and the strong law of large numbers for finite Markov chains indexed by a uniformly bounded tree [15].
Strong law of large numbers for countable Markov chains indexed by an infinite tree with uniformly bounded degree
The last one is the Kolmogorov-type strong law of large numbers for pairwise NQD random variables obtained by Chen [23], which plays an important role in proving the main results of the paper.
On the strong convergence and complete convergence for pairwise NQD random variables
[2] Nagaev, S.V, On necessary and sufficient conditions for the strong law of large numbers, Theory Prob.
On the law of large numbers for trigonometric series
However, the researchers found that people with high levels of interest in a topic rely more on the Law of Large Numbers, assessing both consensus and the size of a poll.
But is a picture worth a thousand people? Effects of pictorial vividness and numeric representation on attitudes toward the China-Tibet issue
In arguing for the law of large numbers and broad historical forces, Wells is careful to add that he doesn't believe in the "Great Man" theory of history.
Discovering the future: H.G. Wells might be the greatest forecaster of all time. So how did he make his predictions?
In Theorem 1.2 assuming that m = [infinity] and that the tail of distribution of [xi] is regularly varying at [infinity], a weak law of large numbers is established.
On the number of zero increments of random walks with a barrier
They happen frequently, and independently of each other, so the law of large numbers comes into play, and the insurer can reliably predict annual losses and set a premium that will cover them.
Managing catastrophic risk: getting beyond the insurance crisis; The incidence of catastrophic risk has increased markedly, and insurance rates have risen with it. Some companies are re-examining the issue of self-insurance or even doing without and using their equity base to cover potential risks
This is an illustration of the "law of large numbers," which is the primary underpinning to the insurance mechanism.
Chapter 1: general principles of risk and insurance
Obviously it is in the best interest of all participants in the pool that their total number be as large as possible so the law of large numbers will apply most effectively.
Industry leaders respond to NU columns: woods on 'manufacturing'
Life insurers have used mortality tables and "the law of large numbers" to price policies for years.
Crystal ball of health care? Can predictive modeling help lower costs?
Almost all of the things that classical science deals with involve zillions of items, and the Law of Large Numbers guarantees that the form to the probability will be accurately expressed.
What's the probability of evolution?
This contradicts the law of large numbers which indicates that a large sample should be much more representative of the population (50% male) than a small sample.
Stochastic misconceptions of pre-service teachers

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