Practical Statistics for Astronomers

1. Decision 2. Probability 3. Statistics and expectations 4. Correlation and association 5. Hypothesis-testing 6. Data modelling and parameter-estimation: basics 7. Data modelling and parameter-estimation: advanced topics 8. Detection and surveys 9. Sequential data - 1D statistics 10. Statistics of large-scale structure 11. Epilogue: statistics and our Universe Appendices References Index.

[1]  Jeffrey S. Rosenthal,et al.  Struck by Lightning: The Curious World of Probabilities , 2005 .

[2]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[3]  Larry Gonick,et al.  Cartoon Guide to Statistics , 1993 .

[4]  J. Justice Maximum entropy and bayesian methods in applied statistics , 1986 .

[5]  P. J. Green,et al.  Probability and Statistical Inference , 1978 .

[6]  E. Jaynes Probability theory : the logic of science , 2003 .

[7]  R. B. Partridge,et al.  3 K: The Cosmic Microwave Background Radiation: Cosmology , 1995 .

[8]  Gutti Jogesh Babu,et al.  Statistical Challenges in Modern Astronomy IV , 1998 .

[9]  Derek,et al.  Statistics Without Tears , 1981 .

[10]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[11]  Gutti Jogesh Babu,et al.  Statistical Challenges in Modern Astronomy , 1992 .

[12]  J. Souriau,et al.  Quasars and cosmology , 1979 .

[13]  S. T. Buckland,et al.  An Introduction to the Bootstrap. , 1994 .

[14]  F. Famoye Seeing Through Statistics , 1995 .

[15]  J. Kalbfleisch,et al.  The Statistical Analysis of Failure Time Data , 1980 .

[16]  Louis Lyons,et al.  A practical guide to data analysis for physical science students: Random numbers , 1991 .

[17]  Neil A. Weiss,et al.  Introductory Statistics , 1982 .

[18]  J. Bendat,et al.  Measurement and Analysis of Random Data , 1968 .

[19]  G. Grimmett,et al.  Probability and random processes , 2002 .

[20]  A. Szalay,et al.  Large Scale Structures of the Universe , 1988 .

[21]  G. Casella,et al.  Statistical Inference , 2003, Encyclopedia of Social Network Analysis and Mining.

[22]  C. Hooker,et al.  Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science , 1976 .

[23]  E. Hubble The Realm of the Nebulæ , 1956, Nature.

[24]  M. Lehnert,et al.  The Most Distant Radio Galaxies , 1999 .

[25]  P. R. Bevington,et al.  Data Reduction and Error Analysis for the Physical Sciences , 1969 .

[26]  Peter Sprent,et al.  Statistics in action , 1977 .

[27]  David B. Williams,et al.  Weighing the odds , 2001 .

[28]  John Skilling,et al.  Data analysis : a Bayesian tutorial , 1996 .

[29]  Jeremiah P. Ostriker,et al.  Unsolved Problems in Astrophysics , 2018 .

[30]  A. Zellner An Introduction to Bayesian Inference in Econometrics , 1971 .

[31]  F. Murtagh,et al.  Errors, Bias and Uncertainties in Astronomy , 1993 .

[32]  M. Dopita,et al.  The First Stromlo Symposium: The physics of active galaxies , 1994 .

[33]  S. Siegel,et al.  Nonparametric Statistics for the Behavioral Sciences , 2022, The SAGE Encyclopedia of Research Design.

[34]  P. Peebles,et al.  The Large-Scale Structure of the Universe , 1980 .

[35]  David J. C. MacKay,et al.  Information Theory, Inference, and Learning Algorithms , 2004, IEEE Transactions on Information Theory.

[36]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[37]  W. Press,et al.  Numerical Recipes: The Art of Scientific Computing , 1987 .

[38]  Richard G. Lyons,et al.  Understanding Digital Signal Processing , 1996 .

[39]  J. Rice Mathematical Statistics and Data Analysis , 1988 .

[40]  Elizabeth A. Peck,et al.  Introduction to Linear Regression Analysis , 2001 .

[41]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[42]  H. Herne,et al.  How to Lie with Statistics , 1973 .

[43]  K OrJ Numerical Bayesian methods applied to signal processing , 1996 .

[44]  P. Ball Critical Mass: How One Thing Leads to Another , 2004 .

[45]  Dimitri Mihalas,et al.  Galactic Astronomy: Structure and Kinematics , 1981 .

[46]  L. Joseph,et al.  Bayesian Statistics: An Introduction , 1989 .

[47]  Richard W. Hamming,et al.  Numerical Methods for Scientists and Engineers , 1963 .

[48]  Jack D. Gaskill,et al.  Linear systems, fourier transforms, and optics , 1978, Wiley series in pure and applied optics.

[49]  M. Oakes Statistical Inference: A Commentary for the Social and Behavioural Sciences , 1986 .

[50]  T. Louis,et al.  Bayes and Empirical Bayes Methods for Data Analysis. , 1997 .

[51]  M. Moroney,et al.  Facts in figures , 1952 .

[52]  A. Stuart,et al.  Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory , 1988 .

[53]  B. Bertotti Modern cosmology in retrospect , 1990 .

[54]  I. Jolliffe Principal Component Analysis , 2002 .

[55]  Stephen Senn,et al.  Dicing with death : chance, risk, and health , 2003 .

[56]  Michael Wood,et al.  Making Sense of Statistics: A Non-Mathematical Approach , 2003 .

[57]  David A. H. Jacobs Numerical Software: Needs and Availability , 1978 .

[58]  D. Hand A History of Probability and Statistics and Their Applications before 1750 , 1990 .

[59]  R. Fisher Statistical methods for research workers , 1927, Protoplasma.

[60]  B. Manly Multivariate Statistical Methods : A Primer , 1986 .

[61]  P. Fayers,et al.  The Visual Display of Quantitative Information , 1990 .

[62]  G. Swenson,et al.  Interferometry and Synthesis in Radio Astronomy , 1986 .

[63]  Fred Sir Hoyle,et al.  The Black Cloud , 1957 .

[64]  J. Wolfowitz,et al.  Introduction to the Theory of Statistics. , 1951 .

[65]  J. F. James,et al.  A Student's Guide to Fourier Transforms , 2003 .

[66]  A. Hald A history of mathematical statistics from 1750 to 1930 , 1998 .

[67]  Edward R. Tufte Visual explanations: images and quantities, evidence and narrative , 1997 .

[68]  Anthony C. Davison,et al.  Bootstrap Methods and Their Application , 1998 .

[69]  Larry C. Andrews,et al.  Special functions for engineers and applied mathematicians , 1985 .

[70]  Nicholas I. Fisher,et al.  Statistical Analysis of Spherical Data. , 1987 .

[71]  Louis Lyons,et al.  Statistics for Nuclear and Particle Physicists , 1989 .

[72]  F. Knight The economic nature of the firm: From Risk, Uncertainty, and Profit , 2009 .

[73]  Anthony O'Hagan,et al.  Kendall's Advanced Theory of Statistics: Vol. 2B, Bayesian Inference. , 1996 .

[74]  D. Hudson.,et al.  Statistics for Physicists , 1972 .

[75]  H. Jeffreys,et al.  Theory of probability , 1896 .

[76]  H. Frank,et al.  Statistics: concepts and applications , 1996 .

[77]  R. Bracewell The Fourier Transform and Its Applications , 1966 .

[78]  W. J. Conover,et al.  Practical Nonparametric Statistics , 1972 .