@article {Patra,
    AUTHOR = {Patra, R. K. and  Sen, Bodhisattva},
     TITLE = {Estimation of a Two-component Mixture Model with Applications to Multiple Testing},
   JOURNAL = {J. R. Stat. Soc.},
  FJOURNAL = {Journal of the Royal Statistical Society},
    VOLUME = {78},
    NUMBER = {4},
      YEAR = {2016},
     PAGES = {869--893},
     DOI = {10.1111/rssb.12148},
     URL = {https://doi.org/10.1111/rssb.12148},
}

@article {Yang,
    AUTHOR = { Yang, L and Fan, W. and Bouguila, N},
     TITLE = { Clustering Analysis via Deep Generative Models With Mixture Models},
   JOURNAL = {IEEE Trans. Neural Netw. Learn. Syst.},
  FJOURNAL = {IEEE transactions on neural networks and learning systems},
    VOLUME = {33},
    NUMBER = {1},
      YEAR = {2022},
     PAGES = {340--350},
      DOI = {10.1109/TNNLS.2020.3027761},
}
@article {Ma,
	AUTHOR = {Ma, H. Q. and Jiang, J. M},
	TITLE = { Pseudo-{B}ayesian Classified Mixed Model Prediction},
	JOURNAL = {J. Amer. Statist. Assoc.},
	FJOURNAL = {Journal of the American Statistical Association},
	VOLUME = {118},
	NUMBER = {543},
	YEAR = {2023},
	PAGES = {1747--1759},	
	DOI = {10.1080/01621459.2021.2008944},
} 
  
@article {Bodha,
	AUTHOR = {Bodha, S. H. and Jiti, G. and Silvapulle, M. J. and Silvapulle, P},
	TITLE = {Forecasting a Nonstationary Time Series Using a Mixture of Stationary and Nonstationary Factors as Predictors},
	JOURNAL = {J. Bus. Econom. Statist.},
	FJOURNAL = {Journal of Business \& Economic Statistics},
	VOLUME = {42},
	NUMBER = {1},
	YEAR = {2024},
	PAGES = {122--134},
	DOI = {10.1080/07350015.2023.2166048},
} 
 
@article {Mostofi,
	AUTHOR = {Mostofi, G. A. and Kopaei, K. M},
	TITLE = {Nonparametric {B}ayesian inferences on the skewed data using a {D}irichlet process mixture model},
	JOURNAL = {	Statist. Papers.},
	FJOURNAL = {Statistical Papers},
	VOLUME = {66},
	NUMBER = {1},
	YEAR = {2025},
	PAGES = {28--52},
	DOI = {10.1007/S00362-024-01658-7},
} 

@book {McLachlanPeel2000,
	AUTHOR = {McLachlan, G. and Peel, D.},
	TITLE = {Finite Mixture Models},
	PUBLISHER = {Wiley},
	YEAR = {2000},
	ADDRESS = {New York},
	DOI = {10.1002/0471721182},
}

@article {Huber,
	AUTHOR = {Huber, P. J},
	TITLE = {A robust version of the probability ratio test},
	JOURNAL = {	Ann. Math. Stat.},
	FJOURNAL = {The Annals of Mathematical Statistics},
	VOLUME = {36},
	NUMBER = {6},
	YEAR = {1965},
	PAGES = {1753--1758},
	DOI = {10.1214/aoms/1177699803},
}

@article {Maiboroda,
	AUTHOR = {Maiboroda, R. and Sugakova, O},
	TITLE = {Nonparametric density estimation for symmetric distributions by contaminated data},
	JOURNAL = {Metrika.},
	FJOURNAL = {Metrika},
	VOLUME = {75},
	NUMBER = {1},
	YEAR = {2012},
	PAGES = {109--126},
	DOI = {
	10.1007/s00184-010-0317-5},
}
@article {Chen,
 	AUTHOR = {Chen, M. and  Gao, C. and Ren, Z},
 	TITLE = {A general decision theory for {H}uber’s $\epsilon$-contamination model},
 	JOURNAL = {	Electron. J. Stat.},
 	FJOURNAL = {Electronic Journal of Statistics},
 	VOLUME = {10},
 	NUMBER = {2},
 	YEAR = {2016},
 	PAGES = {3752--3774},
 	DOI = { 10.1214/16-EJS1216},
 }
@article {Liu,
	AUTHOR = {Liu, H. and Gao, C},
	TITLE = {Density estimation with contamination: minimax rates and theory of adaptation},
	JOURNAL = {IMS-BS.},
	FJOURNAL = {The Institute of Mathematical Statistics and the Bernoulli Society},
	VOLUME = {13},
	NUMBER = {2},
	YEAR = {2019},
	PAGES = {3613--3653},
	DOI = {10.1214/19-ejs1617},
}
@article {Bertolino,
	AUTHOR = {Bertolino, F. and Cabras, S. and  Castellanos, E. M. and Racugno, W},
	TITLE = {Unscaled {B}ayes factors for multiple hypothesis testing in microarray experiments},
	JOURNAL = {Stat. Methods Med. Res.},
	FJOURNAL = {Statistical Methods in Medical Research},
	VOLUME = {24},
	NUMBER = {6},
	YEAR = {2015},
	PAGES = {1030--1043},
	DOI = {10.1177/0962280212437827},
}

@article {Maria,
	AUTHOR = {Maria, E. C. J. and Salazar, I. and Sanz, L. and Gómez-Villegas, M.A},
	TITLE = {Using Copula to Model Dependence When Testing Multiple Hypotheses in {DNA} Microarray Experiments: A {B}ayesian Approximation},
	JOURNAL = {Mathematics.},
	FJOURNAL = {Mathematics},
	VOLUME = {8},
	NUMBER = {9},
	YEAR = {2020},
	PAGES = {1514--1514},
	DOI = {10.3390/math8091514},
}

@article {Shu,
	AUTHOR = {Shu, H. and Nan, B. and Koeppe, R},
	TITLE = {Multiple testing for neuroimaging via hidden {M}arkov random field},
	JOURNAL = {Biometrics.},
	FJOURNAL = {Biometrics},
	VOLUME = {71},
	NUMBER = {3},
	YEAR = {2015},
	PAGES = {741--750},
	DOI = {10.1111/biom.12329},
}
@article {Winkler,
	AUTHOR = {Winkler, A. M. and Webster, M. A. and Brooks, J. C. and Tracey, I. and Smith, S.M. and Nichols, T.E},
	TITLE = {Non‐parametric combination and related permutation tests for neuroimaging},
	JOURNAL = {Hum. Brain Mapp.},
	FJOURNAL = {Human Brain Mapping},
	VOLUME = {37},
	NUMBER = {4},
	YEAR = {2016},
	PAGES = {1486--1511}, 
	DOI = {10.1002/hbm.23115},
}
@article {Efron,
	AUTHOR = {Efron, B. and Tibshirani, R. and Storey, J. D. and Tusher, V},
	TITLE = {Empirical {B}ayes analysis of a microarray experiment},
	JOURNAL = {J. Am. Stat. Assoc.},
	FJOURNAL = {Journal of the American Statistical Association},
	VOLUME = {96},
	NUMBER = {456},
	YEAR = {2001},
	PAGES = {1151--1160},
	DOI = {10.1198/016214501753382129},
}
@article {Robin,
	AUTHOR = {Robin, S. and Bar-Hen, A. and Daudin, J. J. and Pierre, L},
	TITLE = {A semi-parametric approach for mixture models: Application to local false discovery rate estimation},
	JOURNAL = {	Comput. Stat. Data Anal.},
	FJOURNAL = { Computational Statistics and Data Analysis},
	VOLUME = {51},
	NUMBER = {12},
	YEAR = {2007},
	PAGES = {5483--5493},
	DOI = {10.1016/j.csda.2007.02.028},
}
@article {Nguyen,
	AUTHOR = {Nguyen, V. H. and Matias, C},
	TITLE = {Nonparametric estimation of the density of the alternative hypothesis in a multiple testing setup. {A}pplication to local false discovery rate estimation},
	JOURNAL = {	ESAIM: Probab. Stat.},
	FJOURNAL = {ESAIM: Probability and Statistics},
	VOLUME = {18},
	NUMBER = {1},
	YEAR = {2014},
	PAGES = {584--612},
	DOI = {10.1051/ps/2013041},
}
@article {Marzio,
	AUTHOR = {Marzio, D. M. and Taylor, C. C},
	TITLE = {Boosting Kernel Density Estimates: A Bias Reduction Technique?},
	JOURNAL = {Biometrika.},
	FJOURNAL = {Biometrika},
	VOLUME = {91},
	NUMBER = {1},
	YEAR = {2004},
	PAGES = {226--233},
	DOI = {10.1093/biomet/91.1.226},
}
@article {Liu2,
	AUTHOR = {Liu, S. Y. and Yu, T},
	TITLE = {Kernel density estimation in mixture models with known mixture proportions},
	JOURNAL = {Stat. Med.},
	FJOURNAL = {Statistics in medicine},
	VOLUME = {40},
	NUMBER = {28},
	YEAR = {2021},
	PAGES = {6360--6372},
	DOI = {10.1002/SIM.9187},
}
@article {Zhang,
	AUTHOR = {Zhang, J. and Lin, B. Q. and Zhou, Y.},
	TITLE = {Kernel density estimation for partial linear multivariate responses models},
	JOURNAL = {J. Multivariate Anal.},
	FJOURNAL = {Journal of Multivariate Analysis},
	VOLUME = {185},
	NUMBER = {},
	YEAR = {2021},
	PAGES = {104768},
	DOI = {10.1016/J.JMVA.2021.104768},
}
@article {Chagny,
	AUTHOR = {Chagny, G. and Channarond, A. and Hoang, V. H. and Roche, A.},
	TITLE = {Adaptive nonparametric estimation of a component density in a two-class mixture model},
	JOURNAL = {J. Statist. Plann. Inference.},
	FJOURNAL = {Journal of Statistical Planning and Inference},
	VOLUME = {216},
	NUMBER = {},
	YEAR = {2022},
	PAGES = {51--69},
	DOI = {10.1016/J.JSPI.2021.05.004},
}

@book {Härdle,
	AUTHOR = {Härdle, W. and Kerkyacharian, G. and Picard, D. and Tsybakov, A.},
	TITLE = {Wavelets, Approximation, and Statistical Applications},
	PUBLISHER = {Springer},
	YEAR = {1998},
	ADDRESS = {New York},
	DOI = {10.1007/978-1-4612-2222-4},
}
@article {Abramovich,
	AUTHOR = {Abramovich, F. and Bailey, T. C. and Sapatinas, T.},
	TITLE = {Wavelet Analysis and its Statistical Applications},
	JOURNAL = {J. Roy. Statist. Soc. Ser. D.},
	FJOURNAL = {Journal of the Royal Statistical Society: Series D (The Statistician)},
	VOLUME = {49},
	NUMBER = {1},
	YEAR = {2000},
	PAGES = {1--29},
	DOI = {10.1111/1467-9884.00216},
}

@article {Baldi,
	AUTHOR = {Baldi, P. and Kerkyacharian, G. and Picard, D. and Tsybakov, A. B.},
	TITLE = {Adaptive density estimation for directional data using needlets},
	JOURNAL = {Ann. Statist.},
	FJOURNAL = {Annals of Statistics},
	VOLUME = {37},
	NUMBER = {6A},
	YEAR = {2009},
	PAGES = {3362--3395},
	DOI = {10.1214/09-AOS682},
}
@article {Wang,
	AUTHOR = {Wang, H. Y.},
	TITLE = {Convergence rates of density estimation in {B}esov spaces},
	JOURNAL = {Appl. Math.},
	FJOURNAL = {Applied Mathematics},
	VOLUME = {02},
	NUMBER = {10},
	YEAR = {2011},
	PAGES = {1258--1262},
	DOI = {10.4236/am.2011.210175},
}
@article {Chesneau,
	AUTHOR = {Chesneau, C. and Dewan, I. and Doosti, H.},
	TITLE = {Nonparametric estimation of a two dimensional continuous–discrete density function by wavelets},
	JOURNAL = {Statist. Methodol.},
	FJOURNAL = {Statistical Methodology},
	VOLUME = {18},
	NUMBER = {},
	YEAR = {2014},
	PAGES = {64--78},
	DOI = {10.1016/j.stamet.2013.09.002},
}

@article {Chesneau2020,
	AUTHOR = {Chesneau, C. and Kolei, S. E. and Kou, J. K. and Navarro, F.},
	TITLE = {Nonparametric estimation in a regression model with additive and multiplicative noise},
	JOURNAL = {J. Comput. Appl. Math.},
	FJOURNAL = {Journal of Computational and Applied Mathematics},
	VOLUME = {380},
	NUMBER = {},
	YEAR = {2020},
	PAGES = {112971},
	DOI = {10.1016/j.cam.2020.112971},
}

@article {Juditsky,
	AUTHOR = {Juditsky, A. and Lambert-Lacroix, S.},
	TITLE = {On minimax density estimation on $\mathbb{R}$},
	JOURNAL = {Bernoulli.},
	FJOURNAL = {Bernoulli},
	VOLUME = {10},
	NUMBER = {2},
	YEAR = {2004},
	PAGES = {187--220},
	DOI = {10.3150/bj/1082380217},
}
@article {Shen,
	AUTHOR = {Shen, A. T. and Li, X. and Zhang, Y. J. and Zhang, X. J.},
	TITLE = {Consistency and asymptotic normality of wavelet estimator in a nonparametric regression model},
	JOURNAL = {Stochastics.},
	FJOURNAL = {Stochastics},
	VOLUME = {93},
	NUMBER = {6},
	YEAR = {2021},
	PAGES = {868--885},
	DOI = {10.1080/17442508.2020.1815745},
}
@article {Cao,
	AUTHOR = {Cao, K. K. and Zeng, X. C.},
	TITLE = {Data-driven wavelet estimations for density derivatives},
	JOURNAL = {Bull. Malays. Math. Sci. Soc.},
	FJOURNAL = {Bulletin of the Malaysian Mathematical Sciences Society},
	VOLUME = {47},
	NUMBER = {6},
	YEAR = {2024},
	PAGES = {169--187},
	DOI = {10.1007/S40840-024-01766-5},
}
@book {Tsybakov2008,
	AUTHOR = {Tsybakov, A. B.},
	TITLE = {Introduction to Nonparametric Estimation},
	PUBLISHER = {Springer},
	YEAR = {2008},
	ADDRESS = {New York},
	DOI = {10.1007/B13794},
}
@article {Donoho,
	AUTHOR = {Donoho, D. L. and Johnstone, I. M. and Kerkyacharian, G. and Picard, D.},
	TITLE = {Density estimation by wavelet thresholding},
	JOURNAL = {Ann. Statist.},
	FJOURNAL = {The Annals of Statistics},
	VOLUME = {24},
	NUMBER = {2},
	YEAR = {1996},
	PAGES = {508--539},
	DOI = {10.1214/AOS/1032894451},
}
@article {Geng,
	AUTHOR = {Geng, Z. and Wang, J.},
	TITLE = {The mean consistency of wavelet density estimators},
	JOURNAL = {J. Inequal. Appl.},
	FJOURNAL = {Journal of Inequalities and Applications},
	VOLUME = {2015},
	NUMBER = {1},
	YEAR = {2015},
	PAGES = {1--14},
	DOI = {10.1186/s13660-015-0636-1},
}
@article {Liang,
	AUTHOR = {Liang, D. and Kou, J. K.},
	TITLE = {Nonparametric density estimation in a mixed model using wavelet},
	JOURNAL = {Axioms.},
	FJOURNAL = {Axioms},
	VOLUME = {14},
	NUMBER = {},
	YEAR = {2025},
	PAGES = {741},
	DOI = {10.3390/AXIOMS14100741},
}
@article {Kou,
	AUTHOR = {Kou, J. K. and Chen, X. M.},
	TITLE = {Wavelet estimations of a density function in two-class mixture model},
	JOURNAL = {AIMS Math.},
	FJOURNAL = {AIMS Mathematics},
	VOLUME = {9},
	NUMBER = {8},
	YEAR = {2024},
	PAGES = {20588--20611},
	DOI = {10.3934/math.20241000},
}