System Modeling and Simulation an Introduction 1st. Edition by Frank L. Severance | 9780471496946 | 0471496944 | Holooly

System Modeling and Simulation an Introduction

126 SOLVED PROBLEMS

Question: A.6

Using the same data as in Example A.5, estimate the density function using an exponential distribution. Test the hypothesis that this is a reasonable estimate. ...

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The mean of the data is μ = 7. Since the mean is a...

Question: A.5

Consider the data {2, 2, 2, 4, 4, 7, 10, 12, 13, 14}. Estimate an appropriate continuous uniform density function and test to see if such a hypothesis is reasonable. ...

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The frequency distribution table and empirical den...

Question: A.4

Find the maximum likelihood estimator for the parameters α and β in the Gamma distribution: ...

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There are two parameters: α and β. Therefore, the ...

Question: A.3

Find the maximum likelihood estimator for the parameter μ in the Poisson distribution: ...

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Assume n data points,

\ x_1 , x_2, . . . , x...

Question: A.2

Suppose that a study of the number of phone calls received at a certain site is to be made. To do this, the number of phone calls received over a specified 30-minute period is recorded for 25 days. ...

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Since, by the summary description, the variates mu...

Question: A.1

Consider the following sorted data: {0.1, 0.3, 0.3, 0.5, 0.6, 0.6, 0.7, 0.8, 0.8, 0.8, 0.9, 1.2, 1.3, 1.4, 1.7, 1.9, 2.2, 2.6, 2.9, 3.4}. This data might be the recorded length of long-distance telephone calls (measured in minutes) at a residence over a one-month period. ...

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The unbiased estimates for the population mean and...

Question: 10.12

Apply the method of Hook and Jeeves to the objective function defined in Example 10.9, f(C) = 3C1² + 2C1C2 + 3C2² – 16C1 – 8C2. ...

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Since Hook and Jeeves has three directions, there ...

Question: 10.11

Repeat Example 10.10 for the case where tracking is desired for yss = 6 and vss = 3. Again assume that input to be x(t) = 10 and the time horizon to be [0, 20]. ...

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Using the criteria for steady-state linear systems...

Question: 10.10

Consider the servo system whose block diagram is given in Figure 10.20. There are two tuning parameters C1 and C2 that weight the position and velocity components of the feedback loops. ...

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Direct interpretation of the block diagram gives [...

Question: 10.9

Consider the unconstrained objective f(C) = 3C1² + 2C1C2 + 3C2² – 16C1 – 8C2. Since f(C) is quadratic and its discriminant B² – 4AC =2² – (4)(3)(3) = -20 < 0 is negative, it should be clear that it is shaped like a bowl with elliptical cross-sections. ...

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The projection of objective f onto the

\ C_1...

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