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Research Interests
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Distribution Theory
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Applied Probability
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Survival Analysis
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Education
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Ph.D.
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Management Science
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Tamkang University, Taiwan (1981)
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M.S.
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Mathematics
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National Taiwan Normal University
(1976)
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B.S.
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Mathematics
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National Taiwan Normal University
(1972)
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Professional Experience
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1986 - 2015
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Research Fellow, Institute of
Statistical Science, Academia Sinica
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1982 - 1986
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Associate Research Fellow, Institute
of Statistical Science, Academia Sinica
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Professional Activities
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2014 - present
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Associate Editor, Statistics - A
Journal of Theoretical and Applied Statistics
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2013 - present
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Associate Editor, Journal of
Statistical Distributions and Applications
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2012 - present
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Advisory Editor, ISTAISIK
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Awards
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1994 - 1995
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Outstanding Award, NSC, Taiwan
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Publications
A. Refereed Papers
Lin, G.D. and Stoyanov, J.
(2015). On the moment determinacy of products of non-identically
distributed random variables. To appear in Probability and Mathematical
Statistics.
Lin, G.D. and Stoyanov, J.
(2015). Moment determinacy of powers and products of nonnegative random
variables. To appear in Journal of Theoretical Probability.
Dou, X., Kuriki, S., Lin, G.D. and
Richards, D. (2015). EM algorithms for estimating the Bernstein copula. To
appear in Computational Statistics & Data Analysis.
Stoyanov, J., Lin, G.D. and
DasGupta, A. (2014). Hamburger moment problem for powers and products of
random variables. J. Statist. Plann.
Inference, 154, 166-177.
Lin, G.D., Dou, X., Kuriki, S. and
Huang, J.S. (2014). Recent developments on the construction of bivariate
distributions with fixed marginals. Journal of Statistical Distributions
and Applicarions, 1:14 (Open Access)
Lai, C.-D. and Lin, G.D. (2014).
Mean time to failure of systems with depenednt components. Applied
Mathematics and Computations, 246, 103-111.
Dou, X., Kuriki, S. and
Lin, G. D. (2013). Dependence structure and asymptotic properties of
Baker's distributions with fixed marginals. J. Statist. Plann. Inference,
143, 1343-1354.
Huang, J. S., Dou, X.,
Kuriki, S. and Lin, G. D. (2013). Dependence structure of bivariate order
statistics with applications to Bayramoglu's distributions. J.
Multivariate Anal., 114, 201-208.
Stoyanov, J. and Lin, G. D.
(2012). Hardy's condition in the moment problem for probability
distributions. Theory of Probability and Its Applications, 57,
811-820. SIAM, 57, 699-708 (2013)
Huang, J. S. and Lin, G. D. (2011). A note on the Sarmanov
bivariate distributions. Applied Mathematics and Computation, 218,
919-923.
Lin, G. D. and Huang, J. S. (2011). Maximum correlation for
the generalized Sarmanov bivariate distributions. J. Statist. Plann.
Inference, 141, 2738-2749.
Stoyanov, J. and Lin, G. D. (2011).
Mixtures of power series distributions: identifiability via uniqueness in
problems of moments. Ann. Inst. Statist. Math., 63,
291-303.
Lin,
G. D. and Huang, J. S. (2010). A note on the maximum correlation for
Baker's bivariate distributions with fixed marginals. J. Multivariate
Anal., 101, 2227-2233.
Lin,
G. D. (2009). On the characterization of life distributions via percentile
residual lifetimes. Sankhya, Ser. A, 71, 64-72.
Lin,
G. D. and Stoyanov, J. (2009). The logarithmic skew-normal distributions
are moment-indeterminate. J. Appl. Probab., 46, 909-916.
Hu,
C.-Y. and Lin, G. D. (2008). Some inequalities for Laplace transforms. J.
Math. Anal. Appl., 340, 675-686.
Lin,
G. D. and Hu, C.-Y. (2008). On characterizations of the logistic
distribution. J. Statist. Plann. Inference, 138, 1147-1156.
Hu,
C.-Y. and Lin, G. D. (2007). Some inequalities for characteristic
functions. II. J. Math. Anal. Appl., 328, 201-219.
Hu,
C.-Y., Iksanov, A. M., Lin, G. D. and Zakusylo, O. K. (2006). The Hurwitz
zeta distribution. Australian & New Zealand Journal of Statistics,
48, 1-6.
Hu,
C.-Y. and Lin, G. D. (2005). Sharp reliability bounds for the L-like
distributions, a class in which aging is based on Laplace transform
inequalities. J. Appl. Probab., 42, 1204-1208.
Hu,
C.-Y. and Lin, G. D. (2005). Some inequalities for characteristic
functions. J. Math. Anal. Appl., 309, 336-352.
Huang,
J. S. and Lin, G. D. (2004). Estimating the population median using
only a central subset of observations. Australian & New
Zealand Journal of Statistics, 46, 457-462.
Arnold,
B. C. and Lin, G. D. (2004). Characterizations of the skew-normal and
generalized chi distributions. Sankhya, 66, 593-606.
Hu,
C.-Y. and Lin, G. D. (2003). Characterizations of the exponential
distribution by stochastic ordering properties of the geometric
compound. Ann. Inst. Statist. Math., 55, 499-506.
Lin,
G. D. (2003). Characterizations of the exponential distribution via the
residual lifetime. Sankhya, 65, 249-258.
Lin,
G. D. and Stoyanov, J. (2002). On the moment determinacy of the
distribution of compound geometric sums. J. Appl. Probab., 39,
545--554.
Lin,
G. D. and Hu, C.-Y. (2001). The Riemann zeta distribution. Bernoulli,
7, 817--828.
Hu,
C.-Y. and Lin, G. D. (2001). On the geometric compounding model with
applications. Probab. Math. Statist., 21, 135--147.
Lin,
G. D. (2001). A note on the characterization of positive Linnik laws. Australian
& New Zealand Journal of Statistics, 43, 17--20.
Hu,
C.-Y. and Lin, G. D. (2001). Stochastic inequalities for the weighted sums
of pairwise i.i.d. generalized gamma random variables. Sankhya, Ser.
A, 63,128--132.
Lin,
G. D. and Hu, C.-Y. (2001). Characterizations of distributions via the
stochastic ordering property of random linear forms. Statist. Probab.
Lett., 51, 93--99.
Hu,
C.-Y. and Lin, G. D. (2001). An inequality for the weighted sums of
pairwise i.i.d. generalized Rayleigh random variables. J. Statist.
Plann. Inference, 92, 1--5.
Lin,
G. D. and Hu, C.-Y. (2000). A note on the L-class of life
distributions. Sankhya, Ser. A, 62, 267--272.
Hu,
C.-Y. and Lin, G. D. (2000). On an inequality for the Rayleigh
distribution. Sankhya, Ser. A, 62, 36--39.
Huang,
J. S. and Lin, G. D. (1999). Equality in distribution in a convex ordering
family. Ann. Inst. Statist. Math., 51, 345--349.
Lin,
G. D. (1998). On the Mittag-Leffler distributions. J. Statist. Plann.
Inference, 74, 1--9.
Lin,
G. D. (1998). Characterizations of the L-class of life
distributions. Statist. Probab. Lett., 40, 259--266.
Lin,
G. D. (1998). On weak convergence within the L-like classes
of life distributions. Sankhya, Ser. A, 60, 176--183.
Lin,
G. D. (1998). A note on the Linnik distributions. J. Math. Anal. Appl.,
217, 701--706.
Lin,
G. D. and Huang, J. S. (1998). The cube of a logistic distribution is
indeterminate. Austral. J. Statist., 39, 247--252.
Lin,
G. D. (1997). On weak convergence within a family of life distributions. J.
Appl. Probab., 34, 823--826.
Lin,
G. D. (1997). On the moment problems. Statist. Probab. Lett., 35,
85--90 (correction: ibid, 50, 205).
Huang,
J. S. and Lin, G. D. (1995). Characterization of distributions using
equilibrium transformations. Sankhya, Ser. A, 57, 179--185.
Lin,
G. D. (1995). On weak convergence within a Lorenz ordering family of
distributions. J. Appl. Probab., 32, 1028--1031.
Lin,
G. D. (1994). Extensions of the uniqueness theorems for Laplace-Stieltjes
transforms and for moment generating functions. Sankhya, Ser. A, 56,
512--515.
Lin,
G. D. (1994). On equivalence of weak convergence and moment convergence of
life distributions. Ann. Inst. Statist. Math., 46, 587--592.
Lin,
G. D. (1994). A note on distributions having the almost-lack-of-memory
property. J. Appl. Probab., 31, 854--856.
Lin,
G. D. (1994). Characterizations of the Laplace and related distributions
via geometric compound. Sankhya, Ser. A, 56, 1--9.
Lin,
G. D. and Too, Y.-H. (1994). A moment problem and its application to
characterization of distribution. Southeast Asian Bull. Math., 18,
85--88.
Lin,
G. D. (1993). On a probabilistic generalization of Taylor's theorem. Statist.
Probab. Lett., 19, 239--243.
Chao,
M. T. and Lin, G. D. (1993). The asymptotic distributions of the remedians.
J. Statist. Plann. Inference, 37, 1--11.
Lin,
G. D. (1993). Characterizations of the exponential distribution via the
blocking time in a queueing system. Statist. Sinica, 3,
577--581.
Lin,
G. D. (1993). On convergence rates of averages of weakly dependent random
variables. Statist. Probab. Lett., 16, 159--162.
Lin,
G. D. (1992). Characterizations of distributions via moments. Sankhya,
Ser. A, 54, 128--132.
Lin,
G. D. and Too, Y.-H. (1991). Characterizations of distributions via moments
of order statistics when sample size is random. Southeast Asian Bull.
Math., 15, 139--144.
Lin,
G. D. (1990). Characterizations of continuous distributions via expected
values of two functions of order statistics. Sankhya, Ser. A, 52,
84--90.
Lin,
G. D. and Huang, J. S. (1989). Variances of sample medians. Statist.
Probab. Lett., 8, 143--146.
Too,
Y.-H. and Lin, G. D. (1989). Characterizations of uniform and exponential
distributions. Statist. Probab. Lett., 7, 357--359.
Lin,
G. D. (1989). The product moments of order statistics with applications to
characterizations of distributions. J. Statist. Plann. Inference, 21,
395--406.
Hwang,
J. S. and Lin, G. D. (1988). Characterizations of distributions via two
expected values of order statistics. Metrika, 35, 329--338.
Chan,
F. Y., Chan, L. K. and Lin, G. D. (1988). On consecutive-k-out-of-n:
F systems. European J. Oper. Res., 36, 207--216.
Lin,
G. D. (1988). Characterizations of distributions via relationship between
two moments of order statistics. J. Statist. Plann. Inference, 19,
73--80.
Lin,
G. D. (1988). Characterizations of uniform distributions and of exponential
distributions. Sankhya, Ser. A, 50, 64--69.
Hwang,
J. S. and Lin, G. D. (1987). Nonlinear approximation and moment problem.
In: Nonlinear Analysis (edited by Th. M. Rassias), 337--353. World
Scientific Publishing Company, Singapore, 1987.
Lin,
G. D. and Huang, J. S. (1987). A note on the sequence of expectations of
maxima and of record values. Sankhya, Ser. A, 49, 272--273.
Lin,
G. D. (1987). Relationships between two extensions of
Farlie-Gumbel-Morgenstern distribution. Ann. Inst. Statist. Math., 39,
129--140.
Lin,
G. D. (1987). On characterizations of distributions via moments of record
values. Probab. Theory Related Fields, 74, 479--483.
Cheng,
P. E. and Lin, G. D. (1987). Maximum likelihood estimation of a survival
function under the Koziol-Green proportional hazards model. Statist.
Probab. Lett., 5, 75--80.
Lin,
G. D. (1986). On a moment problem. Tohoku Math. J., 38,
595--598.
Lin,
G. D. (1986). A note on aggregating constraints in integer programming. Zeitschrift
fur Operations Research, 30, 79--82.
Lin,
G. D. (1985). An asymptotic characterization of bias reduction by the
higher order jackknife. Bull. Inst. Math. Acad. Sinica, 13,
93--103.
Chao,
M. T. and Lin, G. D. (1984). Economical design of large consecutive-k-out-of-n:
F systems. IEEE Trans. on Reliability, 36, 411--413.
Hwang,
J. S. and Lin, G. D. (1984). Extensions of Muntz-Szasz theorem and
applications. Analysis, 4, 143--160.
Hwang,
J. S. and Lin, G. D. (1984). On a generalized moment problem. II. Proc. Amer.
Math. Soc., 91, 577--580.
Hwang,
J. S. and Lin, G. D. (1984). Characterizations of distributions by linear
combinations of moments of order statistics. Bull. Inst. Math. Acad.
Sinica, 12, 179--202.
Lin,
G. D. (1984). A note on equal distributions. Ann. Inst. Statist. Math.,
36, 451--453.
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- Conference Papers
Lin,
G. D. (1989). Characterizations of distributions via moments of order
statistics: a survey and comparison of methods. In: Statistical Data
Analysis and Inference (edited by Y. Dodge, Neuchatel, 1989), 297--307,
North-Holland, Amsterdam, 1989.
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