Interdisciplinary Meandering in Science
Published Online:1 Feb 2002https://doi.org/10.1287/opre.50.1.114.17800
References
- Two moments suffice for Poisson approximations: The Chen-Stein method. Ann. Probab. (1989) 17:9–25Crossref, Google Scholar
- Studies in the Mathematical Theory of Inventory and Production (1958) (Stanford University Press, Stanford, CA) Google Scholar
- Statistical Theory of Reliability and Life Testing (1975) (Holt, Rinehart & Winston, New York) Google Scholar
- Some aspects of random sequences. Ann. Math. Statist. (1965) 37:236–260Crossref, Google Scholar
- Analysis of genetic data on Jewish populations: I. Historical background, demographic features and genetic markers. Amer. J. Human Genetics (1979) 31:324–340Google Scholar
- On extensions of the Brunn-Minkowski and Prékopa Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation. J. Funct. Anal. (1976) 22:366–389Crossref, Google Scholar
- Methods and algorithms for statistical analysis of protein sequences. Proc. National Acad. Sci. U.S.A. (1992) 89:2000–2006Crossref, Google Scholar
- A symmetric-iterated multiple alignment of protein sequences. J. Molecular Biology (1998) 276:249–264Crossref, Google Scholar
- Variation diminishing transformations: A direct approach to total positivity and its statistical applications. J. Amer. Statist. Asso. (1981) 76:824–832Crossref, Google Scholar
- Prediction of complete gene structures in human genomic DNA. J. Molecular Biology (1997) 268:78–94Crossref, Google Scholar
- On Pólya frequency functions.IV. The fundamental spline functions and their limits. J. Analyse Math. (1946) 18:71–107Google Scholar
- On limits of multivariate B-splines. J. Anal. Math. (1981) 39:256–278Crossref, Google Scholar
- Poisson approximation for r-scan processes. Ann. Appl. Probab. (1992) 2:329–357Crossref, Google Scholar
- Critical phenomena for sequence matching with scoring. Ann. Probab. (1994a) 22:1993–2021Crossref, Google Scholar
- Limit distribution of maximal nonaligned two-sequence segmental score. Ann. Probab. (1994b) 4:2022–2039Crossref, Google Scholar
- A review of selected topics in multivariate probability-inequalities. Ann. Statist. (1982) 10:11–43Crossref, Google Scholar
- Statistical Methods in Bioinformatics: An Introduction (2001) (Springer, New York) Crossref, Google Scholar
- The Genetical Theory of Natural Selection (1930) (Clarendon, Oxford, U.K.) Crossref, Google Scholar
- Correlation inequalities on some partially ordered sets. Comm. Math. Phys. (1971) 22:89–103Crossref, Google Scholar
- Oscillatory Matrices and Kernels and Small Vibrations of Mechanical Systems (1950) 2nd ed.(Moscow, Russia) Google Scholar
- Total Positivity and Its Applications (1996) (Kluwer Academic, Publishers, The Netherlands) Crossref, Google Scholar
- Binomial determinants, paths, and book length formulae. Adv. Math. (1985) 58:300–321Crossref, Google Scholar
- Toward a paradigm shift in biology. Nature (1991) 349:99Crossref, Google Scholar
- Integral equations associated with Hankel convolutions. Trans. Amer. Math. Soc. (1965) 116:330–375Crossref, Google Scholar
- A correlation inequality for Markov processes in partially ordered state space. Ann. Probab. (1977) 5:452–454Crossref, Google Scholar
- Variation diminishing transformations and orthogonal polynomials. J. Anal. Math. (1962) 9:177–193Crossref, Google Scholar
- The Convolution Transform (1955) (Princeton University Press, Princeton, NJ) Google Scholar
- Extreme values in the GI/G/1 queue. Ann. Math. Statist. (1972) 43:627–635Crossref, Google Scholar
- The theory of infinite games. Ann. Math. (1953) 58:371–401Crossref, Google Scholar
- The structure of dynamic programming models. Naval Res. Logist. Quart. (1955) 2:285–294Crossref, Google Scholar
- Decision theory for Pólya distributions, case of two actions, I. Proc. Third Berkeley Sympos. Probab. Statist. (1956) 1(University of California Press, Berkeley, CA) 115–129Crossref, Google Scholar
- Pólya-type distributions II. Ann. Math. Statist. (1957a) 28:281–308Crossref, Google Scholar
- Pólya-type distributions III. Admissibility for multiaction problems. Ann. Math. Statist. (1957b) 28:839–860Crossref, Google Scholar
- Pólya-type distributions IV, Some principles of selecting a single procedure from a complete class. Ann. Math. Statist. (1958) 29:1–21Crossref, Google Scholar
- Mathematical Methods and Theory in Games, Programming, and Economics, I. Matrix Games, Programming, and Mathematical Economics; The Theory of Infinite Games (1959) (Addison-Wesley Publishing Company)Google Scholar
- Dynamic inventory policy with varying stochastic demands. Management Sci (1960a) 6:231–258Link, Google Scholar
- Optimal policy for dynamic inventory process with stochastic demands subject to seasonal variations. J. Soc. Indust. Appl. Math. (1960b) 8:611–629Crossref, Google Scholar
- , Beckenbach E. F. The mathematical theory of inventory processes. Modern Mathematics for Engineers (1961) (McGraw Hill, New York) 228–258Google Scholar
- Total positivity, absorption probabilities and applications. Trans. Amer. Math. Soc. (1964) 111:33–107Crossref, Google Scholar
- Total Positivity (1968a) (Stanford University Press, Stanford, CA) Google Scholar
- Equilibrium behavior of population genetic models with non-random mating, Part I: Preliminaries and special mating systems. J. Appl. Probab. (1968b) 5:231–313Crossref, Google Scholar
- Equilibrium behavior of population genetic models with non-random mating, Part II: Pedigrees, homozygosity and stochastic models. J. Appl. Probab. (1968c) 5:231–313Crossref, Google Scholar
- Inequalities for symmetric sampling plans I. Ann. Statist. (1974) 2:1065–1094Crossref, Google Scholar
- Mathematical models, problems, and controversies of evolutionary theory. Bull. Amer. Math. Soc. (1984) 10:221–273Crossref, Google Scholar
- Coincident probabilities and applications in combinatorics. J. Appl. Probab. (1988) 185–200Special 25th anniversaryCrossref, Google Scholar
- , Gasca M., Micchelli C. A. New directions and problems of multivariate total positivity motivated by genetic recombination probabilities. Total Positivity and Its Applications (1996) (Kluwer Academic Publishers, The Netherlands) Crossref, Google Scholar
- Methods for assessing the statistical significance of molecular sequence features by using general scoring schemes. Proc. National Acad. Sci. U.S.A. (1990) 87:2264–2268Crossref, Google Scholar
- Applications and statistics for multiple highscoring segments in molecular sequences. Proc. National Acad. Sci. U.S.A. (1993) 90:5873–5877Google Scholar
- Limit distributions of maximal segmental score among Markov-dependent partial sums. Adv. Appl. Probab. (1992) 24:113–114Crossref, Google Scholar
- Theoretical Studies on Sex Ratio Evolution (1986) (Princeton University Press, Princeton, NJ) Google Scholar
- Kin selection and altruism. Proc. Royal Soc. London, Series B. (1983) 219:327–353Crossref, Google Scholar
- Coincidence probabilities of birth and death processes. Pacific J. Math. (1959) 9:1141–1164Crossref, Google Scholar
- The Hahn polynomial formulas, and an application. Scripta Math (1961) 26:33–46Google Scholar
- Classes of orderings of measures and related correlation inequalities: I. Multivariate totally positive distributions. J. Multivariate Anal. (1980a) 10:467–498Crossref, Google Scholar
- Classes of orderings of measures and related correlation inequalities: II. Multivariate reverse rule distributions. J. Multivariate Anal. (1980b) 10:499–516Crossref, Google Scholar
- Total positivity properties of absolute value multinormal variables with applications to confidence intervals estimated and related probabilistic inequalities. Ann. Statist. (1981) 9:1035–1049Crossref, Google Scholar
- , Karlin S., Amemiya T., Goodman L. A. Comparison of measures, multivariate majorization and applications to statistics. Studies in Econometrics, Time Series, and Multivariate Statistics (1983) (Academic Press, New York) Crossref, Google Scholar
- The theory of decision procedures for distributions with monotone likelihood ratio. Ann. Math. Statist. (1956) 27:272–299Crossref, Google Scholar
- Geometry of moment space. Memoirs Amer. Math. Soc. (1953) 2:1–93Google Scholar
- Tchebycheff Systems: With Applications in Analysis and Statistics (1966) (Interscience Publishers, New York) Google Scholar
- A First Course in Stochastic Process (1975) 2nd ed.(Academic Press, New York) Google Scholar
- A Second Course in Stochastic Process (1981) 2nd ed.(Academic Press, New York) Google Scholar
- Permutation methods for the structured exploratory data analysis (SEDA) of familial trait values. Amer. J. Human Genetics. (1984) 36:873–898Google Scholar
- , Gasca M., Micchelli C. A. Some inequalities of total positivity in pure and applied mathematics. Total Positivity and Its Applications (1996) 247–261Crossref, Google Scholar
- Analysis of biochemical genetic data on Jewish populations. II. Results and interpretations of heterogeneity indices and distance measures with respect to standards. Amer. J. Human Genetics (1979) 31:341–365Google Scholar
- Analysis of biochemical genetic data on Jewish populations. III. The application of individual phenotype measurements for population comparisons. Amer. J. Human Genetic (1982) 34:50–64Google Scholar
- Multivariate splines: A probabilistic perspective. J. Multivariate Anal. (1986) 20:69–90Crossref, Google Scholar
- On choosing combinations of weapons. Naval Res. Logist. Quart. (1963) 10:95–119Crossref, Google Scholar
- Measuring residue associations in protein structures: Possible implications for protein folding. J. Molecular Biology (1994) 239:227–248Crossref, Google Scholar
- On the FKG-inequality for measures on a partially ordered space. Indag. Math. (1977) 39:313–331Crossref, Google Scholar
- Interacting Particle Systems (1985) (Springer-Verlag, New York) Crossref, Google Scholar
- Inequalities: Theory of Majorization and Its Applications (1979) (Academic Press, New York) Google Scholar
- Unbiasedness of invariant tests for manova and other multivariate problems. Ann. Statist. (1980) 8:1326–1341Crossref, Google Scholar
- n-Widths in Approximation Theory (1985) (Springer-Verlag, Berlin) Crossref, Google Scholar
- On logarithmic concave measures and functions. Acta. Sci. Math. (Szeged) (1971) 34:335–343Google Scholar
- Some global results for nonlinear eigenvalue problems. J. Funct. Anal. (1971) 7:487–513Crossref, Google Scholar
- Multivariate majorization and rearrangement inequalities with some applications to probability and statistics. Israel J. Math. (1973) 15:60–77Crossref, Google Scholar
- On convexity of measures. Ann. Probab. (1976) 4:1020–1026Crossref, Google Scholar
- 2-stage selection procedures and related probabilityinequalities. Comm. Statist, Part A, Theory Methods (1978) 7:799–811Crossref, Google Scholar
- Contributions to the problem of approximation of equidistant data by analytic functions, Part A. Quart. Appl. Math. (1944a) 4:45–99Crossref, Google Scholar
- Contributions to the problem of approximation of equidistant data by analytical functions, Part B. Quart. Appl. Math. (1944b) 4:112–141Crossref, Google Scholar
- On Pólya frequency functions, I: The totally positive functions and their Laplace transforms. J. Anal. Math. (1951) 1:331–374Crossref, Google Scholar
- On smoothing operations and their generating functions. Bull. Amer. Math. Soc. (1953) 59:199–230Crossref, Google Scholar
- Cardinal spline interpolation. (1973) (SIAM, Philadelphia, PA) . CBMS Regional Conf. Monograph No. 12Crossref, Google Scholar
- Functional Integration and Quantum Physics (1979) (Academic Press, New York) Google Scholar
- Enumerative Combinatorics (1986) (Wadsworth Co., Belmont, CA) Crossref, Google Scholar
- Unimodality, Convexity and Applications(Academic Press, San Diego, CA) Google Scholar
- An Introduction to Stochastic Modeling (1984) (Academic Press, New York) Google Scholar
- Probability Inequalities in Multivariate Distributions (1980) (Academic Press, New York) Google Scholar
- Stochastic Monotonicity and Queueing Applications of Birth-Death Processes (1981) (Springer-Verlag Lecture Notes in Statistics, Berlin) Crossref, Google Scholar
- Evolution in Mendelian populations. Genetics (1931) 16:97–159Crossref, Google Scholar

