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Article Contents

ABSTRACT

1.INTRODUCTION

2.DESCRIPTION OF MAXIMUM LIKELIHOOD METHOD

2.1.Alternative Approaches to Peculiar Velocity-Density Comparison

2.2.VELMOD

2.2.1.Mathematical Details

2.2.2.Further Discussion of VELMOD Likelihood

2.2.3.Implementation of VELMOD

3.TESTS WITH SIMULATED GALAXY CATALOGS

3.1.Accuracy of -Determination

3.2.Accuracy of Determination of _v and w_LG

3.3.TF Parameters Obtained from VELMOD

3.4.Properties of VELMOD Likelihood

4.APPLICATION TO MARK III CATALOG DATA

4.1.Sample Selection

4.2.Velocity Width Dependence of TF Scatter

4.3.Treatment of Virgo

4.4.Implementation of a Quadrupole Flow

4.5.Results

4.6.VELMOD Results Using 500 km s^-1 Smoothing

4.7.Consistency of Mark III and VELMOD TF Relations

5.ANALYSIS OF RESIDUALS: DO PREDICTIONS MATCH OBSERVATIONS?

5.1.Sky Maps of VELMOD Residuals

5.2.Residual Autocorrelation Function

5.2.1.Using Residual Correlations to Identify Poor Fits Quantitatively

6.DISCUSSION

6.1.What is the Value of _I?

6.1.1.Why Do VELMOD and POTIRAS Yield Different Values of _I?

6.1.2.Effect of Cosmic Scatter

6.2.Do IRAS and TF Velocity Fields Agree?

6.2.1Comparison with Davis, Nusser, & Willick

6.2.2.Role of Quadrupole

6.3.What is the Value of ?

6.3.1.Nonlinear Analysis

6.3.2.Constraining from Independent Estimates of b_I

6.4.Summary

APPENDIX A. IRAS VELOCITY-DENSITY RECONSTRUCTION

APPENDIX B. RESIDUAL QUADRUPOLE

APPENDIX C. PROPERTIES OF STATISTIC ²

REFERENCES