Consequently, the statistical manner to express the market efficiency is the random walk hypothesis (RWH), which can be formulated in three different sub-hypothesis, respectively: independently and

identically distributed increments, independent increments, uncorrelated increments.

i], i [less than or equal to] 1} be a sequence of negatively associated

identically distributed random variables satisfying the condition (2.

This indicates that returns are not independent

identically distributed and the volatility clustering phenomenon is present in the data.

n] be independent and

identically distributed prolate spheroids with isotropic orientation.

140] per try for L-isomer biological amino acids that are independent and

identically distributed.

a sequence of independent

identically distributed random variables X = [([X.

Considering that a basic assumption from the extreme value theory (TVE) is that the distribution of the maximums of independent and

identically distributed random variables, converge to one of the particular cases of the GEV (COLES, 2001), and also based on the assumption that the GEV has all the flexibility of its three particular cases NADARAJAH & CHOI, 2007).

It means that the number of zeroes between the logical "1" is an

identically distributed random variable.

In the BRJ article, McCotter wishes to construct a test of the common hypothesis that the individual batting outcomes of a particular player during a season represent independent,

identically distributed trials.

Students should be familiar with independent and

identically distributed random variables.

The individual errors, ei, at each observation are also assumed to be independent and

identically distributed.

A random variable X with an infinitely divisible distribution can be represented as a sum of any number of independent and

identically distributed variables [X.

are

identically distributed, shows that the premium scale leading to the minimization of the expected quadratic error using the long-run distribution of the Markov chain, i.

These bids arise sequentially over time, in accordance with some independent and

identically distributed (iid) stochastic process.

A slightly more sophisticated way of stating the theorem is: The mean of n independent,

identically distributed random variables approaches the normal distribution as n increases.