R. J. Swift’s Publications

 

 

 

 

Home     Teaching      Research     Publications       About me

 

 

This is what I enjoy doing…

 

 

Textbooks

  1. A Course in Ordinary Differential Equations, (coauthored with S. Wirkus). Chapman & Hall/CRC Press, Boca Raton, FL, 2006. Information about this text can be found here: ODE Book  and you can find the  Known Errata Here
  2. Probability Theory with Applications, 2nd edition (coauthored with M.M. Rao). Mathematics and Its Applications, 582, Springer Inc., New York, 2006.
  3. A Course in Mathematical Modeling, (coauthored with D.D. Mooney). Classroom Resources Materials Series; A. Sterrett Ed. The Mathematical Association of America. 1999. A Support web page can be found here.

 

Research Monographs

  1. Current Trends in Applied Probability, A special volume of the Journal of Statistical Theory and Practice, (as co-editor, with J. Gani), Volume 2, Number 2, 2008. Information about this volume can be found here: Applied Probability
  2. Stochastic Processes and Functional Analysis: Recent Advances, A collection of research articles in honor of Professor M.M. Rao. (as editor, with A.C. Krinik), Lecture Notes in Pure and Appl. Math., 238, Marcel Dekker, New York, 2004.

 

Articles

  1. On the Kermack-McKendrick Approximation for Removals from an Epidemic (coauthored with J. Gani), The Mathematical Scientist, (to appear).
  2. The θ-Logistic and Gompertz Birth-Death Processes, The Mathematical Scientist, (to appear).
  3. Analysis of the Game Cover-Up (coauthored with J. Switkes, S. Wirkus), The Mathematical Spectrum, (to appear).
  4. Obituary:  Kiyoshi Itô (1915-2008), The Mathematical Scientist, Vol. 34, (1) 1 – 3, 2009.
  5. A Population of HIV Infectives Partially Treated with Anti-retroviral Drugs (coauthored with J. Gani), International Journal of Modern Mathematics,  Volume 4, No. 1, 95-108, 2009.
  6. A Simple Interpretation of two Stochastic Processes subject to an Independent Death Process (coauthored with J. Gani), Applied Mathematics E-Notes, Volume 9, 89-94, 2009. Article is available here www.math.nthu.edu.tw/~amen/2009/080121-1.pdf
  7. There and Back Again—A Mathematician and His Family’s Odyssey “Down Under”, Focus (MAA), Vol. 29, No. 1, 24-25, 2009.
  8. A Simple Approach to the Integrals under three Stochastic Processes (coauthored with J. Gani), Journal of Statistical Theory and Practice, Volume 2, No. 4, 559-568, 2008.
  9. Dice Sums (coauthored with A. Rosin, M. Sharobiem), The Mathematical Scientist, Vol. 33, (2) 99 – 109, 2008.
  10. An Unexpected Result in an Approximate Carrier-Borne Epidemic Process (coauthored with J. Gani), Statistics and Probability Letters, Vol. 78, 2116-2120, 2008.
  11. A Glimpse at Current Trends in Applied Probability (coauthored with J. Gani), Journal of Statistical Theory and Practice, Volume 2, Number 2, v-vi, 2008.
  12. Approximating Carrier-Borne Epidemics (coauthored with J. Gani), Australian & New Zealand Journal of Statistics, Vol. 50(2), 147-159, 2008.
  13. An Epidemic Model Approximating the Spread of the Common Cold (coauthored with J. Gani), Australian Mathematical Society Gazette, Vol. 35(2), 115-120, 2008.
  14. Population Processes Subject to a Mass Movement (coauthored with J. Gani), International Journal of Pure and Applied Mathematics, Vol. 43, No.3, 449-463, 2008.
  15. A Birth-Death Process with Deterministic Mean Population, Advances & Applications in Statistics, Vol. 9, No. 1, 101-108, 2008.
  16. A Stochastic Death Pairing Process, Applied Sciences, Vol.10, 235-243, 2008.
  17. A Simple Stochastic Epidemic Process with Total Quarantine of Infectives (coauthored with J. Anderson, A. Byrne, R. Fields, L. Segovia), Applied Mathematical Sciences, Vol. 2, No. 16, 753-761, 2008.
  18. On the Spread of Carrier-Borne Epidemics under the Influence of Carrier Immigration (coauthored with J. Sun), The Mathematical Scientist, Vol. 32, (2) 127-134, 2007.
  19. On the Representation of Birth-Death Processes with Polynomial Transition Rates (coauthored with R. Bewernick, J. Dewar, E. Gray, N. Rodriguez) , Journal of Statistical Theory and Practice, Vol. 1, No. 2, 227-231, 2007.
  20. Death and Birth-Death and Immigration Processes with Catastrophes (coauthored with J. Gani), Journal of Statistical Theory and Practice, Vol. 1, No 1, 39-48, 2007.
  21. Analytic Nonstationary Processes, Journal of Statistical Theory and Practice, Vol. 1, No 1, 31-38, 2007.
  22. Birth-Multiple Catastrophe Processes (coauthored with I. Chang and A. Krinik), Journal of Statistical Planning and Inference, Vol. 137, 1544-1559, 2007.
  23. On Highway Relativity (coauthored with S. Wirkus, J. Switkes), The Mathematical Scientist, Vol. 31, (2) 132-133, 2006.
  24. Birth-Death Processes with the Allee Effect (coauthored with F.A. Mulkey), The Mathematical Scientist, Vol. 31, (2) 119-130, 2006.
  25. A Simple Approach to Birth Processes with Random Catastrophes (coauthored with J. Gani), Journal of Combinatorics, Information & System Sciences, Vol. 31, 325-331, 2006.
  26. An Eigenvalue Approach to the Immigration Catastrophe Process (coauthored with M. Green, D. Monarres), Journal of Interdisciplinary Mathematics, Special Issue on Advances in Interdisciplinary Mathematics, Vol. 9, No. 2, 327-346, 2006.
  27. Allocating Infected Needles Randomly among Susceptibles (coauthored with J. Gani), International Journal of Applied Mathematical Sciences, Vol. 2 No. 2, 220-229, 2005.
  28. Dual Processes to Solve Single Server Systems (coauthored with A. Krinik, G. Rubino, D. Marcus, H. Lam, H. Kassify), Journal of Statistical Planning and Inference, 135, Special issue on lattice path combinatorics and discrete distributions, 121-147, 2005.
  29. On M.M. Rao, Stochastic processes and functional analysis, 21--23, Lecture Notes in Pure and Appl. Math., 238, Marcel Dekker, New York, 2004
  30. Classes of Harmonizable Isotropic Random Fields, Stochastic processes and functional analysis, 441--459, Lecture Notes in Pure and Appl. Math., 238, Marcel Dekker, New York, 2004.
  31. Recommended Resources in Probability Theory and Stochastic Processes, Using the Mathematics Literature, Library and Information Science Series, Kristine Flower editor, 66, Marcel Dekker, New York, 2004. Summarized in The Mathematics Autodidact’s Aid, Notices of the American Mathematics Society, November, 2005, P. 1203-1207.
  32. Both Sides of the Table, Focus (MAA), Vol. 24, No. 3, 12-13, 2004.
  33. On the Means of Deterministic and Stochastic Populations, (coauthored with J. Switkes, S. Wirkus & I. Mihaila), The Mathematical Scientist, 28, No. 2,   91-98, 2003.
  34. Transient Probability Functions-A Sample Path Approach (coauthored with M. Green, A. Krinik, C. Mortensen, G. Rubino), Discrete Mathematics and Theoretical Computer Science AC, 2003, 127-136. View the paper here
  35. Some Fibonacci-like Sequences, The Mathematical Spectrum, Vol. 35 No. 3, 62 - 64, 2003.
  36. Perceived Highway Speed (coauthored with J. Switkes & S. Wirkus), The Mathematical Scientist, Vol. 28, (1) 29-36, 2003
  37. Applications of Harmonizable Isotropic Random Fields, Theory of Probability and Math. Statistics (M. I. Yadrenko's 75th Birthday Jubilee Volume), Vol. 66, 137-146, 2002.
  38. A Stochastic Predator-Prey Model, The Bulletin of the Irish Mathematical Society, Vol. 48, 57-63, 2002.
  39. Sigma Oscillatory Processes, Advances on Theoretical and Methodological Aspects of Probability and Statistics, Gordon and Breach Science Publishers, Editor N. Balakrishnan, 37-46, 2002.
  40. A Stochastic Richardsons Arms Race Model; (coauthored with J. Fricks), American Journal of Mathematical and Management Sciences, Vol. 21, No. 3&4, 313-323, 2002.
  41. Isotropic Random Measures, American Journal of Mathematical and Management Sciences, Vol. 21, No. 3&4, 283-293, 2002.
  42. Returning Home, Focus (MAA), Vol. 22, No. 5, 18-19, 2002.
  43. Organizing a Special Session, Focus (MAA), Vol. 22, No. 3, 12-13, 2002.
  44. Covariance Analysis and Associated Spectra for Classes of Nonstationary Processes, Journal of Statistical Planning and Inference, Vol. 100, 145-157, 2002.
  45. Birth-Death Processes via Mathematica, The Mathematical Scientist, Vol. 26 (2) 108-116, 2001.
  46. Approximating a Harmonizable Isotropic Random Field, Journal of Applied Mathematics and Stochastic Analysis, Vol. 14, No. 3, 249-255, 2001.
  47. Transient Probabilities for a Simple Birth-Death-Immigration Process under the Influence of Total Catastrophes, International Journal of Mathematics and Mathematical Sciences, Vol. 25, No. 10, 689-692, 2001.
  48. A Logistic Birth-Death-Immigration-Emigration Process, The Mathematical Scientist, Vol. 26 (1), 25-33, 2001.
  49. A Mathematical Model of Air Temperature in Mammoth Cave, Kentucky (coauthored with J. Jernigan), Journal of Cave and Karst Studies, Vol. 63, No. 1, 3-8, 2001.
  50. Why do I attend the National Meetings? Focus (MAA), Vol. 21, No. 3, 6-7, 2001.
  51. The Evolutionary Spectrum of a Harmonizable Process, Journal of Applied Statistical Science, Vol. 9, No. 4, 265-276, 2000.
  52. A Simple Immigration-Catastrophe Process, The Mathematical Scientist, Vol. 25 (1), 32-36, 2000.
  53. Nonstationary Random Measures, Far East Journal of Theoretical Statistics, Vol. 4 (1), 193-206, 2000.
  54. Signal Extraction for a Class of Nonstationary Processes, PORTUGALIA MATHEMATICA, Vol. 57, Fasc. 1, 49-58, 2000.
  55. The Envelope of an Oscillatory Harmonizable Process, Journal of Interdisciplinary Mathematics, Vol. 3, No. 1, 83-91, 2000.
  56. Harmonizable Locally Spatially Isotropic Random Fields, Revista Colombiana de Matemàtica, Vol. 33, No. 2, 91-103, 1999.
  57. Designing Payoffs for Some Probabilistic Gambling Games (coauthored with D. K. Neal), Missouri Journal of Mathematical Sciences, Vol. 11, No. 2, 93-102, 1999.
  58. Relabeling Dice (coauthored with B.Fowler), The College Mathematics Journal, Vol. 30, No. 3, 204-208, 1999.
  59. Equally Likely Sums (coauthored with B.W. Brunson), The Mathematical Spectrum, Vol. 30, No. 1, 1998.
  60. A Strong Law of Large Numbers for Harmonizable Isotropic Random Fields, Journal of Applied Mathematics and Stochastic Analysis, Vol. 10, No. 3, 219-225, 1997.
  61. An Operator Characterization of Oscillatory Harmonizable Processes, Stochastic Processes and Functional Analysis, Ed. Goldstein, Gretsky & Uhl, 235-244, Marcel Dekker, 1997
  62. Locally Time-Varying Harmonizable Spatially Isotropic Random Fields, Indian Journal of Pure and Applied Mathematics, Vol. 28, No. 3, 295-310, 1997.
  63. Some Aspects of Harmonizable Processes and Fields, Real and Stochastic Analysis: Recent Advances, Ed. M.M. Rao, 303-365, CRC Press, 1997.
  64. Stochastic Processes with Harmonizable Increments, Journal of Combinatorics, Information & System Sciences, Vol. 21, No. 1, 47- 60, 1996.
  65. Almost Periodic Harmonizable Processes, Georgian Mathematical Journal, Vol. 3, No. 3, 275-292, 1996.
  66. A Class of Harmonizable Isotropic Random Fields, Journal of Combinatorics, Information & System Sciences, Vol. 20, No. 1-4, 111-127, 1995.
  67. Representation and Prediction for Locally Harmonizable Isotropic Random Fields, Journal of Applied Mathematics and Stochastic Analysis, Vol. 8, No. 2, 101-114, 1995.
  68. The Structure of Harmonizable Isotropic Random Fields, Stochastic Analysis and Applications, Vol. 12, No. 5, 583-616, 1994.

 

Preprints

  1. Transmitting an Animal Infection to a Human Population (coauthored with J. Gani).
  2. An Immigration-Death Process with two types of delay (coauthored with J. Gani).
  3. A Model for the Spread of Cholera (coauthored with J. Gani).
  4. The Random Breakage of a Rod into Unit Lengths (coauthored with J. Gani).
  5. A PCR Birth Process Subject to an Enzyme Death Process (coauthored with J. Gani).

 

Working Papers

  1. A Simple Provisioning Model for Goods with Fixed Shelf Life (coauthored with J. Gani).
  2. Approximating Birth-Death Processes.
  3. A Spectral Representation of a Class of Nonstationary Processes.
  4. Dual Processes to Solve Queueing Systems with Catastrophes (coauthored with M. Green, A. Krinik, H. Lam, G. Rubino).
  5. Contractive Harmonizable Processes.

 

Published Problems

  1. A Birth-Death Process with Polynomial Transitions, Statistical Papers, Vol. 49, 803-806, 2008.
  2. A Maximal Inequality, Statistical Papers, Vol. 49, 599-601, 2008.
  3. A One-Sided Kolmogorov Inequality, Statistical Papers, Vol. 49, 151-156, 2008.

 

 

Book Reviews

1.      Basics of applied stochastic processes
by Richard Serfozo, Springer, 2009.
Review in Mathematical Reviews, (to appear).

2.      Switching Processes in Queueing Models
by Vladimir Anisimov. John Wiley, 2008.
Review in Mathematical Reviews, July, 2008.

3.      Stochastic Processes in Science, Engineering and Finance
by Frank Beichelt. Chapmann & Hall/CRC, 2006.
Review in the Journal of Statistical Theory and Practice, Vol. 1, No. 2, 285-287, 2007.

4.     Geometry at Work - Papers in Applied Geometry
edited by Catherine A. Gorini, MAA Notes, Volume 53. Mathematical Association of America, 2000. Reviewed for Read This! The Mathematical Association of America Online book review column. July, 2001. Review can be read at the MAA Online at Geometry

5.     Taking Chances: Winning with Probability
by John Haigh. Oxford University Press, 1999. Hardcover, 230 pages. Reviewed for Read This! The Mathematical Association of America Online book review column. November, 2000. Review can be read at the MAA Online at Chances

6.     Baseball's All-Time Best Hitters: How Statistics Can Level the Playing Field
by Michael J. Schell. Princeton University Press, March 1999. Hardcover, 328 pages. Reviewed for Read This! The Mathematical Association of America Online book review column. June, 1999. Review can be read at the MAA Online at Hitters

7.     Randomness, by Deborah J. Bennett. Harvard University Press, 1998. Hardcover, 224 pages. Reviewed for Read This! The Mathematical Association of America Online book review column. September, 1998. Review can be read at the MAA Online at Randomness

 

Technical Reports

  1. Some Simple Epidemic Models (coauthored with J. Anderson, A.Byrne, R.  Fields, L. Segovia), Studies in Applied Mathematics, Applied Mathematical Sciences Summer Institute, Vol. 2, 165-198, 2006. Report can be found at www.amssi.org
  2. Population Processes (coauthored with R. Bewernick, J. Dewar, E. Gray, N.Rodriguez), Studies in Applied Mathematics, Applied Mathematical Sciences Summer Institute, Vol. 1, 65-137, 2005. Report can be found at www.amssi.org
  3. Modeling a Densitometer (coauthored with D. Bernardete, B. Bradley, E. Cumberbatch, S. Hansen, R. Kuller, B. Liu, P. McClure, K. Promislow), Institute for Mathematics and its Applications, University of Minnesota, IMA Preprint #1254-4, 1994.
  4. Traffic Flow (coauthored with B. Bradley, D. Drew, A. Faessler, B. Liu, K. Promislow, T. Soong, D. West), Institute for Mathematics and its Applications, University of Minnesota, IMA Preprint #1254-5, 1994.