Complete Solutions Manual for Understanding Advanced Statistical Methods, 1st Edition by Peter Westfall, Kevin S. S. Henning ; ISBN13: 9781466512108. (Full Chapters included Chapter 1 to 19)....1.Introduction: Probability, Statistics, and Science
2.Random Variables and Their Probability Distributi...
** Immediate Download
** Swift Response
** All Chapters included
, Contents
1. Introduction: Probability, Statistics, and Science 1
2. Random Variables and Their Probability Distributions 5
3. Probability Calculation and Simulation 13
4. Identifying Distributions 19
5. Conditional Distributions and Independence 26
6. Marginal Distributions, Joint Distributions, Independence, and Bayes’ Theorem 30
7. Sampling from Populations and Processes 36
8. Expected Value and the Law of Large Numbers 41
9. Functions of Random Variables: Their Distributions and Expected Values 48
10. Distributions of Totals 52
11. Estimation: Unbiasedness, Consistency, and Efficiency 60
12. Likelihood Function and Maximum Likelihood Estimates 64
13. Bayesian Statistics 73
14. Frequentist Statistical Methods 79
15. Are Your Results Explainable by Chance Alone? 82
16. Chi-Squared, Student’s t, and F-Distributions, with Applications 89
17. Likelihood Ratio Tests 94
18. Sample Size and Power 99
19. Robustness and Nonparametric Methods 105
Appendix. SAS Code for Selected Problems 107
, 1
1. Introduction: Probability, Statistics, and Science
Solutions to Exercises
1. Y1 = Y0(1 + R1) implies that Y1 = Y0 + Y0R1, which in turn implies Y1 – Y0 = Y0R1, and finally that R1 =
(Y1 – Y0)/Y0.
2. To show: Y10 = Y9 (1 + R10). But R10 = (Y10 – Y9)/Y9, so 1 + R10 = Y10/Y9, implying the desired result.
3. I tried λ = 0.01, 0.5, 1.0, 2.0, 4.0. here are the first few values generated:
λ
=
0.01
λ
=
0.5
λ
=
1.0
λ
=
2.0
λ
=
4.0
0
0
1
2
5
0
0
0
0
5
0
0
0
2
3
0
1
1
1
4
0
1
3
2
6
0
0
1
1
5
0
1
0
1
1
0
0
0
2
6
0
0
1
1
5
0
2
1
6
7
0
0
1
2
5
0
0
3
2
1
0
0
0
2
4
0
1
0
5
4
According the problem description and the data generated, λ = 0.5 seem reasonable. Larger λ
predict too many sales, and λ = 0.01 predicts too few sales.
4.
A. (i) Luxury car sales processes (buyer behavior, advertising, dealership reputation); (ii) design: go
to the dealership and ask for their records, measurement: the count of sales of luxury cars in a
given day; (iii) the numeric values of sales that you will collect, (iv) the Poisson probability
distribution, (v) the numbers produced by the Poisson distribution for different λ.
B. If it produces sales data that look like sales data that you would actually see, for some values of
the parameters. By this criterion, the model with λ = 0.5 was good, or at least better than the other
choices.
C. (i), (ii) and (iii) are reality; (iv) and (v) are the model.
5. On average, is more than one car sold per day?
6. Here are some data* produced by a normal distribution with mean = 0 and standard deviation = 1.
0.295754035, -0.422794528, -0.19995241, -0.538682343, -0.820380137, 0.303595016 . These
numbers don’t look anything like car sales. For one thing, they aren’t integers. For another, some are
negative.
Voordelen van het kopen van samenvattingen bij Stuvia op een rij:
Verzekerd van kwaliteit door reviews
Stuvia-klanten hebben meer dan 700.000 samenvattingen beoordeeld. Zo weet je zeker dat je de beste documenten koopt!
Snel en makkelijk kopen
Je betaalt supersnel en eenmalig met iDeal, creditcard of Stuvia-tegoed voor de samenvatting. Zonder lidmaatschap.
Focus op de essentie
Samenvattingen worden geschreven voor en door anderen. Daarom zijn de samenvattingen altijd betrouwbaar en actueel. Zo kom je snel tot de kern!
Veelgestelde vragen
Wat krijg ik als ik dit document koop?
Je krijgt een PDF, die direct beschikbaar is na je aankoop. Het gekochte document is altijd, overal en oneindig toegankelijk via je profiel.
Tevredenheidsgarantie: hoe werkt dat?
Onze tevredenheidsgarantie zorgt ervoor dat je altijd een studiedocument vindt dat goed bij je past. Je vult een formulier in en onze klantenservice regelt de rest.
Van wie koop ik deze samenvatting?
Stuvia is een marktplaats, je koop dit document dus niet van ons, maar van verkoper mizhouubcca. Stuvia faciliteert de betaling aan de verkoper.
Zit ik meteen vast aan een abonnement?
Nee, je koopt alleen deze samenvatting voor €28,93. Je zit daarna nergens aan vast.
