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Characterizations of Probability Distributions

A Characterization of the Exponential Distribution via Hypoexponential Distributions

George Yanev
Journal of Statistical Theory and Practice (2023), 17:30. [pdf]

Exponential and Hypoexponential Distributions: Some Characterizations

George Yanev
Mathematics (MDPI), 2020, 8, 2207. [pdf]

A Characterization of Exponential Distribution and the Sukhatme-Renyi Decomposition of Exponential Maxima

George Yanev and Santanu Chakraborty
Statistics and Probability Letters 110 (2016) 94-102. [pdf]

On Characterizations of Exponential Distribution through Order Statistics and Record Values with Random Shifts

M. Ahsanullah, I.A. Shah, and George Yanev
J. Statistics Applications and Probability, 2(3):1-5, 2013. [pdf]

Characterizations of exponential distribution based on sample of size three

George Yanev and Santanu Chakraborty
Pliska Stud. Math. Bulgar. 23:237–244, 2013. [pdf]

Characterizations of logistic distribution through order statistics with independent exponential shifts

M. Ahsanullah, George Yanev, and C. Onica
Economic Quality Control, 27(1):85-96, 2012. [pdf]

Characterizations of Student's t-distribution via regressions of order statistics

George Yanev and M. Ahsanullah
Statistics, 46(4):429-435, 2012. [pdf]



Characterizations of distributions via order statistics with random exponential shifts

M. Ahsanullah, V. Nevzorov, and George Yanev
J. Applied Stats. Sci., 18(3):297-305, 2011. [pdf]

On characterizations based on regression of linear combinations of record values

George Yanev and M. Ahsanullah
Sankhya, 71-A(1):109-121, 2009. [pdf]

Characterizations of probability distributions via bivariate regression of record values

George Yanev, M. Ahsanullah, and M. Beg
Metrika, 68:51-64, 2008. [pdf]

Branching Processes

Controlled Branching Processeswith Continuous Time

Gonzalez, M., Molina, M., del Puerto, I., Yanev, N., and Yanev, G.
Journal of Applied Probability, 58(2021), 3:830-848. [pdf]

Critical controlled branching processes and their relatives

George Yanev
Pliska Stud. Math. 24 (2015), 111–130. [pdf]

Time to extinction in subcritical two-sex branching processes

David Hull, Manuel Mota, and George Yanev
Methodology and Computing in Applied Probability, 17(2015), 3:605-616. [pdf]

Variance estimators in critical branching processes with non-homogeneous immigration

I. Rahimov and George Yanev
Math Population Studies, 19(4):188-199, 2012. [pdf]

  1. Extension of the problem of extinction on Galton-Watson family trees
    Lecture Notes in Statistics - Proceedings, 197:81-95, 2010.
    [abstract] [pdf]

  2. Number of complete N-ary subtrees on Galton-Watson family trees
    Methodol Comput Appl Probab, 8:223-233, 2006. With L. Mutafchiev.
    [abstract] [arXiv][pdf]

  3. A critical branching process with stationary-limiting distribution
    Stoch Anal Appl, 22(3):721-738, 2004. With N.M. Yanev.
    [abstract] [pdf]

  4. Extremes of geometric variables with applications to branching processes
    Stat Probab Letters, 65:379-388, 2003. With K.M. Mitov and A.G. Pakes.
    [abstract] [arXiv][pdf]

  5. On Maximum Family Size in Branching Processes
    J. Appl. Probab., 36:632-643, 1999. With I. Rahimov.
    [abstract] [pdf]

Applied Statistics Publications
  1. Distribution of Candidatus Liberibacter asiaticus above and below Ground in Texas Citrus
    Phytopathology, 2016, With Louzada, E.S., Vazquez, O.E., Braswell, W.E., Devanaboina, M., and Kunta, M.
    [DOI][pdf]

  2. Ergocalciferol versus Cholecalciferol for Nutritional Vitamin D Replacement in CKD
    Nephron, 2015, pp.6. With Mangoo-Karim R., Perez, N.N., Abreu, J., Stubbs, J.P., Wetmore J.B.
    [DOI][pdf]

  3. Illustrations and supporting texts for sound standing waves of air columns in pipes in introductory physics textbooks
    Physical Review Special Topics - Physics Education Research 10, 020110, 2014.
    With Zeng, L., Smith, C., Poelzer, G.H., Rodriguez, J., and Corpuz, E.
    [full text online][pdf]

  4. Racial and ethnic differences in 25-hydroxyvitamin D levels patients with chronic kidney disease
    International Urology and Nephrology, 45:181–189, 2013. With Sanchez, I., Mangoo-Karim, R., Stubbs, J.R., and Wetmore, J.B.
    [abstract] [ Renal and Urology News][pdf]

  5. Statistical changes of lake stages in two rapidly urbanizing watersheds
    Water Resources Management, 25(1):21-39, 2011. With Sh. Paynter and M. Nachabe
    [abstract][pdf]

  6. Polyphasic wake/sleep episodes in the fire ant, Solenopsis invicta
    J. Insect Behavior, 22(4):313-323, 2009. With D. L. Cassill, S. Brown, and D. Swick
    [abstract] [BBC News][pdf]

  7. Changes in coral reef communities among the Florida Keys, 1996-2003
    Coral Reefs, 27(4):951-965, 2008. With P. Somerfield, W. Jaap, K. Clarke, M. Callahan, K. Hackett, J. Porter, M. Lybolt, and C. Tsokos
    [abstract][pdf]