1 : The strong

law of large numbers for the sequence of random variables

The

Law of Large Numbers can be traced back to Jakob Bernoulli's 1713 work "The Art of Conjecturing.

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.

Thus it follows by an application of the

law of large numbers [12], that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.

Due to the

law of large numbers, traditional IT product models are becoming victims of their own success, while the relative smallness of new approaches facilitates growth much more easily," said Pring.

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.

The

Law of Large Numbers states that the larger the number of units in a mix, the less predictable the outcome of an event will be.

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.

There is a firmly established principle called the

Law of Large Numbers.

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.

The

law of large numbers (1) loosely states that the relative frequency of occurrence of an event produced from a random experiment closely estimates or converges to the probability of occurrence as the number of trials in the experiment increases.

The

law of large numbers makes it a certainty that a very small handful of the college's 800 plus employees will be involved in local politics of all shades of opinions.

There is also the

law of large numbers to think about.

In this case, and in most valuations, the number of comparable sales is too small for the

law of large numbers to operate, so the variability estimate would not be reliable and could change if additional sales were added to the list of comparables.

This mathematical theory is known as the

law of large numbers.