Simulation of Union Health And Welfare Funds

Cover Simulation of Union Health And Welfare Funds
Simulation of Union Health And Welfare Funds
G M Kaufman
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3 Assumptions I The eligibility rule takes the form; a worker must work at least X hours during periods t-L through t-1 to be covered in period t, t=l, 2, ... And L > 1.
II The behavior of \\. As t increases may be represented as h.^ = f (t)-+ e.^, all i, t=l, 2, ...
where the random variables {e. , i=l, 2^... , N; t=l, 2, ... 3 are mutually independent and identically distributed with 2 mean and variance a, and f(t) is some function of time, III The number N of members active at the trade is c
...onstant over time periods t=lj2, ...
1, 4 Objectives Given the ordered 7-tuple (a, k^r, U, N, X, L) £ n and Assumptions I, II J and III what is: (a) the expected waiting time E (t)j (b) the probability P^Ct); (c) the marginal probability distribution of U {Pi :■'. Tj (d) how do (a), (b), and (c) vary with changes in the elements of n?
(e) how do the mean and variance of n vary with changes in the elements of Q?
- 11 - 1. 5 Further Definitions It will be useful to re-express (la)in the form U, = Uq + Z 5^, (2) T = i where *%/ '*v 'N^ » _ .


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