Generating random variate - Introduction

4 important questions on Generating random variate - Introduction

Exactness in terms of generating random variates

the generating algorithm should give random variates with exactly the desired distribution, within the unavoidable external limitations of machine accuracy and exactness of the U(0,1) random-number generator

What's marginal execution time?

the generation fo each random variate in a small amount of time

Complexity in terms of generating random variates?

Is the potential gain in efficiency that migh be experienced by using a more complicated algorithm worth the extra effort to understand and implement it
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Robustness in terms of generating random variate

the algorithm is efficient for all parameter values

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