Instituto de Investigación
en Matemáticas

Inferencia Estadística con Restricciones

(IER)


Objetivos: La Inferencia estadística con restricciones tiene por objeto diseñar procedimientos que, aprovechando la información a priori que a menudo se tiene sobre los parámetros del modelo de interés, resulten más eficientes que los clásicos que no tienen en cuenta dicha información previa. Desde sus inicios, hace más de veinte años, este grupo se ha dedicado al estudio de problemas generales de estimación y contraste de hipótesis en modelos lineales normales cuando la incorporación de la información a priori se traduce en la reducción del espacio paramétrico habitual a un cono convexo y cerrado. La metodología ha estado basada en el principio de máxima verosimilitud y en consecuencia en el estudio del comportamiento del estimador máximo verosímil y del test de la razón de verosimilitud. Las principales aportaciones del grupo se concretan, por un lado, en delimitar en que situaciones los procedimientos con restricciones tienen un buen comportamiento y poner de manifiesto y explicar las razones de índole estructural que justifican el deficiente comportamiento de dichos procedimientos en otras situaciones, y, por otro, en la propuesta de procedimientos alternativos que eviten dicho comportamiento anómalo.
Líneas de investigación: Métodos de suavizado con restricciones de forma. Estimación en áreas pequeñas. Estimación y contraste de hipótesis en modelos normales con restricciones. Reglas de clasificación con restricciones.
Publicaciones:
The loss of efficiency estimating linear functions under restrictions Scand. J. Statist. 26 579--592 (1999) Fernández, Miguel A. and Rueda, Cristina and Salvador, Bonifacio
Simultaneous estimation by isotonic regression J. Statist. Plann. Inference 70 111--119 (1998) Fernández, M. A. and Rueda, C. and Salvador, B.
A good property of the maximum likelihood estimator in a restricted normal model Test 6 127--135 (1997) Rueda, C. and Salvador, B. and Fernández, M. A.
On the maximum likelihood estimator under order restrictions in uniform probability models Comm. Statist. Theory Methods 26 1971--1980 (1997) Fernández, M. A. and Rueda, C. and Salvador, B.
Simultaneous estimation in a restricted linear model J. Multivariate Anal. 61 61--66 (1997) Rueda, C. and Salvador, B. and Fernández, M. A.
Parameter estimation under orthant restrictions Canad. J. Statist. 28 171--181 (2000) Fernández, Miguel A. and Rueda, Cristina and Salvador, Bonifacio
Bayes discriminant rules with ordered predictors J. Classification 26 201--225 (2009) Rueda, Cristina and Fernández, Miguel A. and Salvador, Bonifacio
Estimation of parameters subject to order restrictions on a circle with application to estimation of phase angles of cell cycle genes J. Amer. Statist. Assoc. 104 338--347 (2009) Rueda, Cristina and Fernández, Miguel A. and Peddada, Shyamal Das
Robustness of classification rules that incorporate additional information Comput. Statist. Data Anal. 52 2489--2495 (2008) Salvador, B. and Fernández, M. A. and Martín, I. and Rueda, C.
Incorporating additional information to normal linear discriminant rules J. Amer. Statist. Assoc. 101 569--577 (2006) Fernández, Miguel A. and Rueda, Cristina and Salvador, Bonifacio
A classification rule for ordered exponential populations J. Statist. Plann. Inference 135 339--356 (2005) Conde, David and Fernández, Miguel A. and Salvador, Bonifacio
Performance and estimation of the true error rate of classification rules built with additional information. An application to a cancer trial Stat. Appl. Genet. Mol. Biol. 12 583--602 (2013) Conde, David and Salvador, Bonifacio and Rueda, Cristina and Fernández, Miguel A.
Classification of samples into two or more ordered populations with application to a cancer trial Stat. Med. 31 3773--3786 (2012) Conde, D. and Fernández, M. A. and Rueda, C. and Salvador, B.
Robust Condition Monitoring for early detection of broken rotor bars in induction motors Expert Systems with Applications 38 2653–2660 (2011) García -Escudero, L.A., Duque-Pérez, O., Morinigo-Sotelo, D., Perez-Alonso, M.
Cost optimization of electrical contracted capacity for large customers International Journal of Electrical Power and Energy Systems 46 123-131 (2013) Fernández, M.A.; Zorita, A.L.; García-Escudero, L.A.; Duque, O.; Moríñigo, D.; Riesco, M. and Muñoz, M.
Analysis of Fault Signatures for the Diagnosis of Induction Motors fed by Voltage Source Inverters using ANOVA and Additive Models Electric Power Systems Research 121 (2015) Duque-Perez; O; Garcia-Escudero, L.A.; Moriñigo-Sotelo, D.; Gardel, P.E.y Perez-Alonso, M.
A statistical modeling approach to detect anomalies in energetic efficiency of buildings Energy and Buildings 0 377-386 (2016) Zorita, A.L.; Fernández-Temprano, M.A.; García-Escudero, L.A.; Duque-Perez, O.
Order restricted inference for oscillatory systems for detecting rhythmic signals Nucleic Acids Research 44 e163, 1-8 (2016) Yolanda Larriba, Cristina Rueda, Miguel A. Fernández, Shyamal Das Peddada
Utility of a mHealth App for Self-Management and Education of Cardiac Diseases in Spanish Urban and Rural Areas Journal of Medical Systems 40 1-8 (2016) Valentín González de Garibay, Miguel A. Fernández, Isabel de la Torre-Díez, Miguel López-Coronado
Circular piecewise regression with an application to cell-cycle biology Biometrics 72 1266-1274 (2016) Cristina Rueda, Miguel A. Fernández, Sandra Barragán, Kanti V. Mardia, Shyamal Peddada
Determination of temporal order among the components of an oscillatory system PLOS ONE 10 1-14 (2015) Sandra Barragán, Cristina Rueda, Miguel A. Fernández, Shyamal Peddada
dawai: An R Package for Discriminant Analysis With Additional Information Journal of Statistical Software 66 1-19 (2015) David Conde, Miguel A. Fernández, Bonifacio Salvador, Cristina Rueda
isocir: An R package for Isotonic Inference for Circular data. An application in Cell Biology Journal of Statistical Software 54 1-17 (2013) Sandra Barragán, Miguel A. Fernández, Cristina Rueda, Shyamal Peddada
Identification of a core set of signature cell cycle genes whose relative order of time to peak expression is conserved across species Nucleic Acids Research 40 2823-2832 (2012) Miguel A. Fernández, Cristina Rueda, Shyamal Das Peddada
Robust detection of incipient faults in VSI-fed induction motors using quality control charts IEEE Transactions on Industry Applications 53 3076-3085 (2017) García-Escudero, L.A.; Duque-Perez, O; Fernández-Temprano, M.A.; Morinigo-Sotelo,D
Dominance of likelihood ratio tests under cone constraints Ann. Statist. 20 2087--2099 (1992) Menéndez, J. A. and Rueda, C. and Salvador, B.
Testing nonoblique hypotheses Comm. Statist. Theory Methods 21 471--484 (1992) Menéndez, J. A. and Rueda, C. and Salvador, B.
Conditional test for testing a face of the tree order cone Comm. Statist. Simulation Comput. 20 751--762 (1991) Menéndez, J. A. and Rueda, C. and Salvador, B.
The loss of efficiency estimating linear functions under restrictions Scand. J. Statist. 26 579--592 (1999) Fernández, Miguel A. and Rueda, Cristina and Salvador, Bonifacio
Simultaneous estimation by isotonic regression J. Statist. Plann. Inference 70 111--119 (1998) Fernández, M. A. and Rueda, C. and Salvador, B.
A good property of the maximum likelihood estimator in a restricted normal model Test 6 127--135 (1997) Rueda, C. and Salvador, B. and Fernández, M. A.
On the maximum likelihood estimator under order restrictions in uniform probability models Comm. Statist. Theory Methods 26 1971--1980 (1997) Fernández, M. A. and Rueda, C. and Salvador, B.
Simultaneous estimation in a restricted linear model J. Multivariate Anal. 61 61--66 (1997) Rueda, C. and Salvador, B. and Fernández, M. A.
Reduction of risk using restricted estimators Comm. Statist. Theory Methods 24 1011--1022 (1995) Rueda, Cristina and Salvador, Bonifacio
Bootstrap adjusted estimators in a restricted setting J. Statist. Plann. Inference 107 123--131 (2002) Rueda, Cristina and Menéndez, José A. and Salvador, Bonifacio
Parameter estimation under orthant restrictions Canad. J. Statist. 28 171--181 (2000) Fernández, Miguel A. and Rueda, Cristina and Salvador, Bonifacio
Bayes discriminant rules with ordered predictors J. Classification 26 201--225 (2009) Rueda, Cristina and Fernández, Miguel A. and Salvador, Bonifacio
Estimation of parameters subject to order restrictions on a circle with application to estimation of phase angles of cell cycle genes J. Amer. Statist. Assoc. 104 338--347 (2009) Rueda, Cristina and Fernández, Miguel A. and Peddada, Shyamal Das
The analysis of age-specific fertility patterns via logistic models J. Appl. Stat. 35 1053--1070 (2008) Rueda-Sabater, Cristina and Alvarez-Esteban, Pedro C.
Robustness of classification rules that incorporate additional information Comput. Statist. Data Anal. 52 2489--2495 (2008) Salvador, B. and Fernández, M. A. and Martín, I. and Rueda, C.
Incorporating additional information to normal linear discriminant rules J. Amer. Statist. Assoc. 101 569--577 (2006) Fernández, Miguel A. and Rueda, Cristina and Salvador, Bonifacio
Performance and estimation of the true error rate of classification rules built with additional information. An application to a cancer trial Stat. Appl. Genet. Mol. Biol. 12 583--602 (2013) Conde, David and Salvador, Bonifacio and Rueda, Cristina and Fernández, Miguel A.
Degrees of freedom and model selection in semiparametric additive monotone regression J. Multivariate Anal. 117 88--99 (2013) Rueda, Cristina
A Bayesian {HMM} with random effects and an unknown number of states for {DNA} copy number analysis J. Stat. Comput. Simul. 83 82--96 (2013) Rueda, Oscar M. and Rueda, Cristina and Diaz-Uriarte, Ramon
Small area semiparametric additive monotone models Stat. Model. 12 527--549 (2012) Rueda, C. and Lombardía, M. J.
Classification of samples into two or more ordered populations with application to a cancer trial Stat. Med. 31 3773--3786 (2012) Conde, D. and Fernández, M. A. and Rueda, C. and Salvador, B.
Small area estimators based on restricted mixed models TEST 19 558--579 (2010) Rueda, Cristina and Menéndez, José A. and Gómez, Federico
Order restricted inference for oscillatory systems for detecting rhythmic signals Nucleic Acids Research 44 e163, 1-8 (2016) Yolanda Larriba, Cristina Rueda, Miguel A. Fernández, Shyamal Das Peddada
Circular piecewise regression with an application to cell-cycle biology Biometrics 72 1266-1274 (2016) Cristina Rueda, Miguel A. Fernández, Sandra Barragán, Kanti V. Mardia, Shyamal Peddada
Determination of temporal order among the components of an oscillatory system PLOS ONE 10 1-14 (2015) Sandra Barragán, Cristina Rueda, Miguel A. Fernández, Shyamal Peddada
dawai: An R Package for Discriminant Analysis With Additional Information Journal of Statistical Software 66 1-19 (2015) David Conde, Miguel A. Fernández, Bonifacio Salvador, Cristina Rueda
isocir: An R package for Isotonic Inference for Circular data. An application in Cell Biology Journal of Statistical Software 54 1-17 (2013) Sandra Barragán, Miguel A. Fernández, Cristina Rueda, Shyamal Peddada
Identification of a core set of signature cell cycle genes whose relative order of time to peak expression is conserved across species Nucleic Acids Research 40 2823-2832 (2012) Miguel A. Fernández, Cristina Rueda, Shyamal Das Peddada
Checking unimodality using isotonic regression: an application to breast cancer mortality rates. Stochastic Environmental Research and Risk Assessment. 30 1277-1288 (2016) Rueda, C., Ugarte, D. and Militino, A.
Identification of two clusters within schizophrenia with different structural, functional and clinical characteristics. Progress in Neuro-Psychopharmacology & Biological Psychiatry. 0 (2016) Molina. V., Lubeiro. A., Rueda,C., Sanz, J. and Hernández, J.A.
An automated image analysis method to measure regularity in biological patterns: A case study in a Drosophila neurodegenerative model. Molecular neurodegeneration, 10 1-10 (2015) Diez-Hermano, S., Valero, J. Rueda, C., Ganfornina, M.D and Sanchez, D.
State-Space Models to Estimate and Forecast fertility. International Journal of Forecasting 0 712-724 (2010) Rueda, C. and Rodriguez, P
Biometry and statistical analysis of the styloid process. The Anatomical Records. 295 (2012) De Paz, F.J, Rueda, C., Barbosa, M., García, M. and Pastor, J.F
Predicting COVID-19 progression from diagnosis to recovery or death linking primary care and hospital records in Castilla y León (Spain) PLoS One 16 (2021) Pedro C Álvarez-Esteban, Eustasio Del Barrio, Oscar M Rueda, Cristina Rueda
Proyectos:
Diseño de Métodos Estadísticos Isotónicos con Aplicaciones en Bioinformática y en estimación de áreas pequeñas
Contribuciones de la inferencia con restricciones en regresión, clasificación, datos circulares y procedimientos robustos, y aplicaciones a la Biomedicina
Diseño e implementación de nuevos procedimientos de inferencia estadística con restricciones para resolver aplicaciones en biomedicina y otros ámbitos.
Otros datos: