\(\newcommand{\P}{\mathbb{P}}\) \(\newcommand{\E}{\mathbb{E}}\) \(\newcommand{\R}{\mathbb{R}} \) \(\newcommand{\N}{\mathbb{N}}\) \(\newcommand{\ms}{\mathscr}\) \(\newcommand{\rta}{\rightarrow}\) \(\newcommand{\Rta}{\Rightarrow}\) \(\newcommand{\bs}{\boldsymbol}\)
  1. Reliability
  2. Preface
  3. Introduction
  4. Resources

Resources and References

The books and articles in this list are ordered alphabetically by the last name of the first author. We give the author, title, and date of initial publication only; we have not tried to keep up with the myriad editions and re-printings, or the ever-changing names and websites of the publishers. Often older works have different publishers at different times, and sometimes works originally in print are now available online. The links give Google search results for the title and author, which should give ample information for obtaining the works.

  1. Characterization Problems Associated with the Exponential Distribution. TA Azlarov and NA Volodin (1986)
  2. Bivariate failure rate. AP Basu (1971)
  3. Hamonic Analysis on Semigroups: Theory of Positive Definite and Related Functions. C Berg, JPR Christensen, and P Ressel (1984)
  4. Principles of Combinatorics. C Berge (1971)
  5. Probability and Measure. Patrick Billingsley (1995)
  6. A continuous bivariate exponential extension. HW Block and AP Basu (1974)
  7. The Algebraic Theory of Semigroups. AH Clifford and GB Preston (1961)
  8. Bivariate exponential distributions in reliability theory. F Downton (1970)
  9. Spaces with measurable diagonal. J Dravecký (1975)
  10. A bivariate extension of the exponential distribution. JE Freund (1961)
  11. Some characterizations of the exponential distribution via properties of the geometric distribution. J Galambos and S Kotz (1983)
  12. Statistical Reliability Theory. IB Gertsbakh (1989)
  13. Algebraic Graph Theory. C Godsil and G Royle (2001)
  14. Multivariate \(\theta\)-Generalized Normal Distributions. IR Goodman and S Kotz (1973)
  15. Records in a Partially Ordered Set. CM Goldie and S Resnick (1989)
  16. Probability on Graphs: Random Processes on Graphs and Latices. G Grimmett (2018)
  17. Bivariate exponential distributions. EJ Gumbel (1960)
  18. Some remarks on the Riemann zeta distribution. A Gut (2005)
  19. Probability Measures on Semigroups. G Högnäs and A Mukherjea (1995)
  20. A bivariate exponential distribution with applications to reliability. AG Hawkes (1972)
  21. Measure Theory. Paul Halmos (1974)
  22. Semigroups associated with generalized Brownian functionals. T Hida and H Kuo (1992)
  23. Stochastic Partial Ordering. T Kamae and U Krengel (1978)
  24. Point Processes and Their Statistical Inference. AF Karr (1986)
  25. Poisson Processes. JFC Kingman (1993)
  26. Abstract Analytic Number Theory. J Knopfmacher (1975)
  27. The Riemann zeta distribution. GD Lin and CY Hu (2001)
  28. A multivariate exponential distribution. AW Marshall and I Olkin (1967)
  29. Random Sets and Integral Geometry. G Matheron (1975)
  30. Measures on Topological Semigroups. A Mukherjea and NA Tserpes (1976)
  31. Topology and Order. L Nachbin (1965)
  32. A class of bivariate exponential distributions and their copulas. NU Nair and PG Sankaran (2014)
  33. An Introduction to the Theory of Numbers. I Niven, HS Zuckerman, and HL Montgomery (1991)
  34. On a characterization of the family of distributions with constant multivariate failure rates. PS Puri and H Rubin (1974)
  35. On a characterization of the Poisson distribution. CR Rao and H Rubin (1964)
  36. Relative aging of distributions. GH Rowell and K Siegrist (1998)
  37. A characterization of Gumbel's bivariate exponential and Lindley and Singpurwalla's bivariate Lomax distributions. D Roy (1989)
  38. Algebraic Probability Theory. IZ Ruzsa and GJ Székely (1988)
  39. Characterization of the \(p\)-generalized normal distribution. F Sinz, S Gerwinn, and M Bethge (2009)
  40. Maximal volumes of \(n\)-dimensional balls in the \(p\) norm. A Slavik and D S\u ulc (2020)
  41. A continuous univariate exponential distribution. SK Sarkar (1987)
  42. Exponential distributions on semigroups. K Siegrist (1994)
  43. Decomposition of exponential distributions on positive semigroups. K Siegrist (2006)
  44. Random, finite subsets with exponential distributions. K Siegrist (2007)
  45. Exponential and gamma distributions on positive semigroups, with applications to Dirichlet distributions. K Siegrist (2007)
  46. Enumerative Combinatorics. RP Stanley (1997)
  47. Haar measure on semigroups. GJ Székely (1965)
  48. Relations: Concrete, Abstract, and Applied. An Introduction. H Toth (2020)
  49. Invariant Measures on Groups and Thier Use in Statistics. RA Wijsman (1990)