Therefore, for nearly every day on the track of both polar parties, the data are independent and

identically distributed.

, [Z.sub.Bn] are

identically distributed by symmetry.

In what follows we will consider the large deviations principle for the case of a sequence of independent and

identically distributed (i.i.d.) [R.sup.l]-valued random variables [X.sub.1], [X.sub.2],....

While

identically distributed [e.sub.i] over types is plausible in the context of student achievement, it is impossible in the case of binary outcomes such as mortality rates for patients.

RW1 HYPOTHESIS: INDEPENDENT INCREMENTS,

IDENTICALLY DISTRIBUTED INFORMATION

Let {[X.sub.i], i [less than or equal to] 1} be a sequence of negatively associated

identically distributed random variables satisfying the condition (2.1).

Let {[X.sub.k], k = 1,2,3, ...} be a sequence of independent and

identically distributed (i.i.d.) nonnegative random variables with common distribution function F, F [member of] T.

Granted that the query frequencies of domain names are independent and

identically distributed, we give the maximum likelihood estimation (MLE) of the scaling parameter [beta].

This indicates that returns are not independent

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

Accordingly, we use three simultaneous systems of two equations where the observed changes in risk and in the ratios of the three funding sources considered are assumed to have two components: a discretionary component and an exogenous, random, independent and

identically distributed (iid) shock.

Considering a sequence of independent and

identically distributed random

We assume that the particles [[XI].sub.1], ..., [[XI].sub.n] are independent and

identically distributed. Denote by So a random particle with the same distribution as the [[XI].sub.1].