INSTRUCTOR’S SOLUTIONS MANUAL AN INTRODUCTION TO MATHEMATICAL STATISTICS AND ITS APPLICATIONS
21 keer bekeken 0 keer verkocht
Vak
MATHEMATICAL STATISTICS
Instelling
MATHEMATICAL STATISTICS
Contents
Chapter 2: Probability..................................................................................................................................................1
2.2 Samples Spaces and the Algebra of Sets ..............................................................................
2.2 Samples Spaces and the Algebra of Sets ..........................................................................................................1
2.3 The Probability Function ..................................................................................................................................5
2.4 Conditional Probability.....................................................................................................................................7
2.5 Independence..................................................................................................................................................13
2.6 Combinatorics.................................................................................................................................................17
2.7 Combinatorial Probability ..............................................................................................................................23
Chapter 3: Random Variables....................................................................................................................................27
3.2 Binomial and Hypergeometric Probabilities ..................................................................................................27
3.3 Discrete Random Variables ............................................................................................................................34
3.4 Continuous Random Variables.......................................................................................................................37
3.5 Expected Values .............................................................................................................................................39
3.6 The Variance...................................................................................................................................................45
3.7 Joint Densities.................................................................................................................................................49
3.8 Transforming and Combining Random Variables..........................................................................................58
3.9 Further Properties of the Mean and Variance.................................................................................................60
3.10 Order Statistics ............................................................................................................................................64
3.11 Conditional Densities ..................................................................................................................................67
3.12 Moment-Generating Functions....................................................................................................................71
Chapter 4: Special Distributions ................................................................................................................................75
4.2 The Poisson Distribution ................................................................................................................................75
4.3 The Normal Distribution ................................................................................................................................80
4.4 The Geometric Distribution............................................................................................................................87
4.5 The Negative Binomial Distribution ..............................................................................................................89
4.6 The Gamma Distribution ................................................................................................................................91
6.2 The Decision Rule ........................................................................................................................................113
6.3 Testing Binomial Data - H0: p = po.......................................................................................................................................................................... 114
6.4 Type I and Type II Errors .............................................................................................................................115
6.5 A Notion of Optimality: The Generalized Likelihood Ratio........................................................................119
Chapter 7: Inferences Based on the Normal Distribution ........................................................................................121
7.3 Deriving the Distribution of Y −µ ...............................................................................................................121
S/ n
7.4 Drawing Inferences about µ .........................................................................................................................123
2
7.5 Drawing Inferences about σ ........................................................................................................................127
Chapter 8: Types of Data: A Brief Overview ..........................................................................................................131
8.2 Classifying Data ...........................................................................................................................................131
9.2 Testing H 0 : µ X = µY .......................................................................................................................................133
9.3 Testing H 0 : σ X2 = σ Y2 —The F Test .................................................................................................................136
9.4 Binomial Data: Testing H 0 : p X = pY ...........................................................................................................138
9.5 Confidence Intervals for the Two-Sample Problem .....................................................................................140
11.2 The Method of Least Squares....................................................................................................................159
11.3 The Linear Model......................................................................................................................................169
11.4 Covariance and Correlation.......................................................................................................................174
11.5 The Bivariate Normal Distribution............................................................................................................178
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 THEEXCELLENCELIBRARY. Stuvia faciliteert de betaling aan de verkoper.
Zit ik meteen vast aan een abonnement?
Nee, je koopt alleen deze samenvatting voor €26,69. Je zit daarna nergens aan vast.