Sentence examples for distributed denoted from inspiring English sources

The fixed-competing risk value, ( c_{2} ), and the mean of the variable-competing risk are normally distributed (denoted by ( f_{cr2} )).

They are called identically distributed, denoted by (X_{1}overset{d}X_{2}), if mathbb{E}_{1}bigl[varphi(X_{1} bigr]= mathbb{E}_{2}bigl[varphi(X_{2})bigr], quadforall varphiin C_{b,mathrm{lip}}bigl(R^{n}bigr).

They are called identically distributed, denoted by (boldsymbol X_{1}overset {d}= boldsymbol X_{2}) if hat{mathbb{E}}_{1}[varphi(boldsymbol X_{1})]=hat{mathbb{E}}_{2}[varphi(boldsymbol X_{2})], ;; forall varphiin C_{l,Lip}(mathbb R^{n}), whenever the sub-expectations are finite.

If Z denotes the measured value of an analyte and is log-normally distributed, denoted Z ~ LN, then by definition log(Z) is a normal random variable with mean μ and variance σ, denoted log(Z) ~ N (Singh et al. 1997).

The graphs show that the loads are not uniformly distributed for either network but are broadly distributed denoting large fluctuations, with a few links bearing a much higher level of structural stress.

λ i (t | γ) = Y i λ0 (t) exp (β X i ) The Y i (assumed gamma distributed) denote the individual frailty effects on prosthesis survival; if Y i = 1 for all i, the frailty model reduces to the usual proportional hazards model for independent observations.

In order to deal with this problem, the modified histogram can be altered to be closer to the uniform distributed histogram, denoted as u.

Quantitative data that were abnormally distributed were denoted as medians (25th and 75th percentiles) and the rank-sum test was conducted.

For the random effects in Model (1), standard stochastic assumptions are: where iid denotes independently and identically distributed and N denotes the normal distribution.

For any interval (a^{I}=[a^,a^]), in terms of the 3σ law, its corresponding normally distributed random variable, denoted by (bar {a}sim N(mu,sigma^{2})), can be determined as follows: mu=frac{a^+a^{2},qquad sigma=frac{a^-a^{6}.

Assume finally that the i-th unit is damaged with intensity a i t, i.e. the corresponding shock arrival times are exponentially distributed, to be denoted T i ∼Exp(a i t), i=1,2, see Fig. 1.