A Theoretical Comparison of the Efficiencies of Two Classical Methods And a Mont
A Theoretical Comparison of the Efficiencies of Two Classical Methods And a Mont
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226, 29. member of O.. ?) and halving the first term: (3. 8) Var (n'""|j =i) < — ^ o 1-llHll Thus our appraisal of the conditional variance of the dura- tion is identical with our appraisal of the conditional mean value of the duration. In concluding this section, we shall make two general remarks about the Honte Carlo method for solving ^= B.^-, + y developed above. In the first place, one of the desirable features of any Monte Carlo solution is to achieve an arrangement vhereby the more that is known about the solution of the problem in advance, the smaller the variance of the statistical estimator is, with zero variance attained in the presence of full know- ledge of the solution. Such an arrangement has been achieved in the present case. If the solution is known in advance, then p = p - 0, and consequently v = 0. The inequality (3*5) gives a bound for v which depends on the square of the norm of the zero-th residual vector, and thus the better the initial estimate or guess is, the smaller the variance is".
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To quickly assess the difficulty of the text, read a short excerpt:
226, 29. member of O.. ?) and halving the first term: (3. 8) Var (n'""|j =i) < — ^ o 1-llHll Thus our appraisal of the conditional variance of the dura- tion is identical with our appraisal of the conditional mean value of the duration. In concluding this section, we shall make two general remarks about the Honte Carlo method for solving ^= B.^-, + y developed above. In the first place, one of the desirable features of any Monte Carlo solution is to achieve an arrangement vhereby the more that is known about the solution of the problem in advance, the smaller the variance of the statistical estimator is, with zero variance attained in the presence of full know- ledge of the solution. Such an arrangement has been achieved in the present case. If the solution is known in advance, then p = p - 0, and consequently v = 0. The inequality (3*5) gives a bound for v which depends on the square of the norm of the zero-th residual vector, and thus the better the initial estimate or guess is, the smaller the variance is".
What to read after A Theoretical Comparison of the Efficiencies of Two Classical Methods And a Mont?
You can find similar books in the "Read Also" column, or choose other free books by J H Curtiss to read online
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