A discrete-continuous mixture quantile function estimator with a practical application to phase II cancer clinical trials

Statistics in Medicine

Volumn 27, Issue 12, 2008, Pages 2094-2109

  Hutson, Alan D ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

Bootstrap; Order statistics

Indexed keywords

ANTINEOPLASTIC AGENT;

ANALYTICAL ERROR; ANALYTICAL PARAMETERS; ARTICLE; BINOMIAL DISTRIBUTION; BOOTSTRAPPING; CANCER CHEMOTHERAPY; CANCER GROWTH; CANCER SIZE; CLINICAL TRIAL; CONFIDENCE INTERVAL; CONTROLLED CLINICAL TRIAL; CONTROLLED STUDY; DISCRETE CONTINUOUS MIXTURE QUANTILE FUNCTION ESTIMATOR; DRUG RESPONSE; HUMAN; LINEAR SYSTEM; MATHEMATICAL COMPUTING; PHASE 2 CLINICAL TRIAL; SAMPLE SIZE; SIMULATION; SOLID TUMOR;

ANTINEOPLASTIC AGENTS; CLINICAL TRIALS, PHASE II AS TOPIC; CONFIDENCE INTERVALS; DATA INTERPRETATION, STATISTICAL; HUMANS; MODELS, STATISTICAL; NEOPLASMS; TREATMENT OUTCOME;

EID: 44649195122     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3154     Document Type: Article

References (16)

1. Hutson AD. A semi-parametric quantile function estimator for use in bootstrap estimation procedures. Statistics and Computing 2002; 12:331-338.
2. Parzen E. Nonparametric statistical data modelling. Journal of the American Statistical Association 1979; 74: 105-131.
3. Schuster EF. Classification of Probability Laws by Tail Behavior. Journal of the American Statistical Association 1984; 79:936-939.
4. Reiss R-D. Estimation of quantiles in certain nonparametric models. Annals of Mathematical Statistics 1980; 8:87-105.
5. Reiss R-D. Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics. Springer: New York, 1989.
6. Hutson AD. Estimation of quantile functions and applications. Ph.D. Dissertation, University of Rochester, 1996.
7. Hutson AD. Rational spline estimators of the quantile function. Communications in Statistics - Simulation and Computation 2001; 30:377-390.
8. Mudholkar GS, Kollia GD, Lin CT, Patel KR. A graphical procedure for comparing goodness-of-fit tests. Journal of the Royal Statistical Society, Series B 1991; 53:221-232.
9. Hutson AD. Calculating nonparametric confidence intervals for quantiles using fractional order statistics. Journal of Applied Statistics 1999; 26:343-353.
10. Stigler SM. Fractional order statistics, with applications. Journal of the American Statistical Association 1977; 72:544-550.
11. Mudholkar GS, Chaubey YP. Some refinements of the wise-approximation for the beta and F distributions. Utilitas Mathematica 1976; 10:199-208.
12. Ojo MO. A new approximation to the incomplete beta function. Communications in Statistics - Theory and Methods 1988; 17:1423-1435.
13. Tobin J. Estimation of relationships for limited dependent variables. Econometrica 1958; 26:24-36.
14. Therasse P, Arbuck SG, Eisenhauer EA, Wanders J, Kaplan RS, Rubinstein L, Verweij J, Van Glabbeke M, van Oosterom AT, Christian MC, Gwyther SG. New guidelines to evaluate the response to treatment in solid tumors. Journal of the National Cancer Institute 2000; 92:205-216.
15. Van Zwet WR. Convex Transformation of Random Variables. Mathematical Centre Tracts: Amsterdam, 1964.
16. Mudholkar GS, Hutson AD. Asymmetric quasimedians: remarks on an anomaly. Statistics and Probability Letters 1997; 32:261-268.