However, in a non-parametric setting, one can only estimate the distribution function conditional on the time to event as being less than t∗ : F (x ) F (t ∗ ) ^ = ∏ v j > x 1 - n j N j, where the v j 's are the m distinct values of the x i 's, i =1,…, n, taken by n j = ∑ i = 1 n I (X i = v j ) patients and N j = ∑ i = 1 n I (X i ≤ v j ≤ t i ) for 1 ≤ j ≤ m, I denoting the indicator function.
So, a binary probit model is used in the first stage to model the adoption behavior, and in the second stage, separate regression models are used to model agricultural production function conditional on a specified criterion function.
Equation (4) establishes profit maximization with respect to the household choice of (x, F, H, L, y, N), with π( p, r, w, T - l) being the indirect profit function conditional on (T - l).
They stressed further, that the profit maximization problem (4) implies the following revenue maximization: max y, N R p, x, F, H, L, X = p ′y + N : x, F, H, L ; y, N ∈ X (7 where R p, x, F, H, L, X) is the revenue function, conditional on inputs (x, F, H, L).
The objective of this graph-based approach is thus not simply to minimize the cost function, but to minimize the cost function conditional on the proposed new clustering.
The maximum likelihood estimates were found using PROC NLMIXED in which the likelihood function (conditional on N) is maximized using a Newton-Raphson algorithm with a line search and boundary constraint (see Additional file 2 for example program).
Since this probability is unknown, the non-parametric maximum likelihood estimation estimates only the distribution function conditional on the time-to-event being less than the maximum observed truncation time.
19 The EORTC QLQ-PR25 comprises 20 core and 5 conditional questions, organised into five multi-item subscales assessing: urinary, bowel and hormone treatment-related symptoms; sexual activity and sexual functioning (conditional on being sexually active); and a single conditional item assessing urinary bother due to use of incontinence aids.
Our frailty model specifies that the hazard function conditional on the frailty is: λ i j (t | Z i, X i j ) = Z i λ 0 (t ) exp (β ' X i j ) where λ0 t) is the baseline hazard function; X ij = (X1 ij,..., X pij)' denotes the covariate vector for the jth recurrence of individual i, β is the corresponding vector of regression parameters, and the Z i's are unobserved random variables (the frailties).
For statistical analysis conditional mean temperature profiles and probability density functions conditioned on the distance from the flame contour were calculated from the experimental data.
