{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T04:46:36Z","timestamp":1770957996982,"version":"3.50.1"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2018,10,27]],"date-time":"2018-10-27T00:00:00Z","timestamp":1540598400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"Secretar\u00eda de Ciencia y Tecnolog\u00eda de la Universidad Nacional de C\u00f3rdoba","award":["30720150100720CB"],"award-info":[{"award-number":["30720150100720CB"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2019,9]]},"DOI":"10.1007\/s00180-018-0845-4","type":"journal-article","created":{"date-parts":[[2018,10,27]],"date-time":"2018-10-27T11:24:34Z","timestamp":1540639474000},"page":"1315-1335","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Robust estimation for spatial autoregressive processes based on bounded innovation propagation representations"],"prefix":"10.1007","volume":"34","author":[{"given":"Grisel Maribel","family":"Britos","sequence":"first","affiliation":[]},{"given":"Silvia Mar\u00eda","family":"Ojeda","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,10,27]]},"reference":[{"issue":"9","key":"845_CR1","doi-asserted-by":"publisher","first-page":"2686","DOI":"10.1109\/TIP.2006.877362","volume":"15","author":"A Achim","year":"2006","unstructured":"Achim A, Kuruoglu E, Zerubia J (2006) SAR image filtering based on the heavy-tailed Rayleigh model. IEEE Trans Image Process 15(9):2686\u20132693","journal-title":"IEEE Trans Image Process"},{"issue":"8","key":"845_CR2","doi-asserted-by":"publisher","first-page":"841","DOI":"10.1016\/j.patrec.2004.01.009","volume":"25","author":"H Allende","year":"2004","unstructured":"Allende H, Galbiati J (2004) A non-parametric filter for digital image restoration, using cluster analysis. Pattern Recognit Lett 25(8):841\u2013847","journal-title":"Pattern Recognit Lett"},{"key":"845_CR3","first-page":"53","volume":"434","author":"H Allende","year":"1998","unstructured":"Allende H, Galbiati J, Vallejos R (1998) Digital image restoration using autoregressive time series type models. Bull Eur Spat Agency 434:53\u201359","journal-title":"Bull Eur Spat Agency"},{"issue":"11","key":"845_CR4","doi-asserted-by":"publisher","first-page":"1219","DOI":"10.1016\/S0167-8655(01)00054-X","volume":"22","author":"H Allende","year":"2001","unstructured":"Allende H, Galbiati J, Vallejos R (2001) Robust image modeling on image processing. Pattern Recognit Lett 22(11):1219\u20131231","journal-title":"Pattern Recognit Lett"},{"issue":"11","key":"845_CR5","doi-asserted-by":"publisher","first-page":"3294","DOI":"10.1109\/TIP.2006.882010","volume":"15","author":"T Aysal","year":"2006","unstructured":"Aysal T, Barner K (2006) Quadratic weighted median filters for edge enhancement of noisy images. IEEE Trans Image Process 15(11):3294\u20133310","journal-title":"IEEE Trans Image Process"},{"issue":"1","key":"845_CR6","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.spl.2004.06.003","volume":"69","author":"S Baran","year":"2004","unstructured":"Baran S, Pap G, Zuijlen MV (2004) Asymptotic inference for a nearly unstable sequence of stationary spatial AR models. Stat Probab Lett 69(1):53\u201361","journal-title":"Stat Probab Lett"},{"issue":"3","key":"845_CR7","doi-asserted-by":"publisher","first-page":"631","DOI":"10.2307\/1427527","volume":"25","author":"S Basu","year":"1993","unstructured":"Basu S, Reinsel G (1993) Properties of the spatial unilateral first-order ARMA model. Adv Appl Probab 25(3):631\u2013648","journal-title":"Adv Appl Probab"},{"issue":"2","key":"845_CR8","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1016\/j.aeue.2014.11.012","volume":"69","author":"A Bhandari","year":"2015","unstructured":"Bhandari A, Kumar A, Singh G (2015) Improved knee transfer function and gamma correction based method for contrast and brightness enhancement of satellite image. Int J Electron Commun 69(2):579\u2013589","journal-title":"Int J Electron Commun"},{"key":"845_CR9","unstructured":"Bustos O (1997) Robust statistics in SAR image processing. In: Processing of the first Latino-American seminar on radar remote sensing, pp 81\u201389"},{"issue":"393","key":"845_CR10","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1080\/01621459.1986.10478253","volume":"81","author":"O Bustos","year":"1986","unstructured":"Bustos O, Yohai V (1986) Robust estimates for ARMA models. J Am Stat Assoc 81(393):155\u2013168","journal-title":"J Am Stat Assoc"},{"issue":"2","key":"845_CR11","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1214\/08-BJPS019","volume":"23","author":"O Bustos","year":"2009","unstructured":"Bustos O, Ojeda S, Vallejos R (2009a) Spatial ARMA models and its applications to image filtering. Braz J Probab Stat 23(2):141\u2013165","journal-title":"Braz J Probab Stat"},{"issue":"10","key":"845_CR12","doi-asserted-by":"publisher","first-page":"3649","DOI":"10.1016\/j.jspi.2009.04.016","volume":"139","author":"O Bustos","year":"2009","unstructured":"Bustos O, Ruiz M, Ojeda S, Vallejos R, Frery A (2009b) Asymptotic behavior of RA-estimates in autoregressive 2D processes. J Stat Plan Inference 139(10):3649\u20133664","journal-title":"J Stat Plan Inference"},{"issue":"2","key":"845_CR13","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1109\/TRO.2006.870666","volume":"22","author":"A Comport","year":"2006","unstructured":"Comport A, Marchand E, Chaumette F (2006) Statistically robust 2D visual servoing. IEEE Trans Robot 22(2):415\u2013420","journal-title":"IEEE Trans Robot"},{"issue":"1","key":"845_CR14","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1111\/j.1541-0420.2005.00397.x","volume":"62","author":"R Gottardo","year":"2006","unstructured":"Gottardo R, Raftery A, Yeung KY, Bumgarner R (2006) Bayesian robust inference for differential gene expression in microarrays with multiple samples. Biometrics 62(1):10\u201318","journal-title":"Biometrics"},{"issue":"12","key":"845_CR15","doi-asserted-by":"publisher","first-page":"3045","DOI":"10.1109\/78.969512","volume":"49","author":"A Hamza","year":"2001","unstructured":"Hamza A, Krim H (2001) Image denoising: a nonlinear robust statistical approach. IEEE Trans Signal Process 49(12):3045\u20133054","journal-title":"IEEE Trans Signal Process"},{"issue":"9","key":"845_CR16","doi-asserted-by":"publisher","first-page":"561","DOI":"10.1109\/LSP.2006.874463","volume":"13","author":"H Huang","year":"2006","unstructured":"Huang H, Lee T (2006) Data adaptive median filters for signal and image denoising using a generalized sure criterion. IEEE Signal Process Lett 13(9):561\u2013564","journal-title":"IEEE Signal Process Lett"},{"issue":"1","key":"845_CR17","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1214\/aoms\/1177703732","volume":"35","author":"P Huber","year":"1964","unstructured":"Huber P (1964) Robust estimation of a location parameter. Ann Math Stat 35(1):73\u2013101","journal-title":"Ann Math Stat"},{"key":"845_CR18","doi-asserted-by":"publisher","first-page":"550","DOI":"10.1016\/j.neucom.2017.05.069","volume":"266","author":"Z Ji","year":"2017","unstructured":"Ji Z, Huang Y, Xia Y, Zheng Y (2017) A robust modified gaussian mixture model with rough set for image segmentation. Neurocomputing 266:550\u2013565","journal-title":"Neurocomputing"},{"issue":"8","key":"845_CR19","doi-asserted-by":"publisher","first-page":"1313","DOI":"10.1109\/29.1659","volume":"36","author":"R Kashyap","year":"1988","unstructured":"Kashyap R, Eom K (1988) Robust image modeling techniques with an image restoration application. IEEE Trans Acoust Speech Signal Process 36(8):1313\u20131325","journal-title":"IEEE Trans Acoust Speech Signal Process"},{"issue":"3","key":"845_CR20","doi-asserted-by":"publisher","first-page":"394","DOI":"10.1016\/j.patcog.2005.07.008","volume":"39","author":"J Kim","year":"2006","unstructured":"Kim J, Han J (2006) Outlier correction from uncalibrated image sequence using the triangulation method. Pattern Recognit 39(3):394\u2013404","journal-title":"Pattern Recognit"},{"issue":"4","key":"845_CR21","doi-asserted-by":"publisher","first-page":"1073","DOI":"10.1016\/j.ins.2006.07.030","volume":"177","author":"T Lin","year":"2007","unstructured":"Lin T (2007) A new adaptive center weighted median filter for suppressing impulsive noise in images. Inf Sci 177(4):1073\u20131087","journal-title":"Inf Sci"},{"key":"845_CR22","doi-asserted-by":"publisher","DOI":"10.1002\/0470010940","volume-title":"Robust statistics","author":"R Maronna","year":"2006","unstructured":"Maronna R, Martin R, Yohai V (2006) Robust statistics. Wiley, Chichester"},{"key":"845_CR23","first-page":"228","volume-title":"Directions in time series","author":"R Martin","year":"1980","unstructured":"Martin R (1980) Robust estimation of autoregressive models. In: Brillinger DR, Tiao GC (eds) Directions in time series. Institute of Mathematical Statistics, Haywood, pp 228\u2013262"},{"issue":"2","key":"845_CR24","doi-asserted-by":"publisher","first-page":"816","DOI":"10.1214\/07-AOS570","volume":"37","author":"N Muler","year":"2009","unstructured":"Muler N, Pe\u00f1a D, Yohai V (2009) Robust estimation for ARMA models. Ann Stat 37(2):816\u2013840","journal-title":"Ann Stat"},{"key":"845_CR25","unstructured":"Ojeda S (1999) Robust RA estimators for bidimensional autoregressive models. PhD thesis, Universidad Nacional de C\u00f3rdoba"},{"issue":"1","key":"845_CR26","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1080\/00949650211426","volume":"72","author":"S Ojeda","year":"2002","unstructured":"Ojeda S, Vallejos R, Lucini M (2002) Performance of robust RA estimator for bidimensional autoregressive models. J Stat Comput Simul 72(1):47\u201362","journal-title":"J Stat Comput Simul"},{"issue":"9","key":"845_CR27","doi-asserted-by":"publisher","first-page":"2082","DOI":"10.1016\/j.csda.2010.03.021","volume":"54","author":"S Ojeda","year":"2010","unstructured":"Ojeda S, Vallejos R, Bustos O (2010) A new image segmentation algorithm with applications to image inpainting. Comput Stat Data Anal 54(9):2082\u20132093","journal-title":"Comput Stat Data Anal"},{"issue":"2","key":"845_CR28","doi-asserted-by":"publisher","first-page":"023019","DOI":"10.1117\/1.JEI.21.2.023019","volume":"21","author":"S Ojeda","year":"2012","unstructured":"Ojeda S, Vallejos R, Lamberti P (2012) Measure of similarity between images based on the codispersion coefficient. J Electron Imaging 21(2):023019","journal-title":"J Electron Imaging"},{"key":"845_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.spasta.2017.11.003","volume":"23","author":"S Ojeda","year":"2018","unstructured":"Ojeda S, Britos G, Vallejos R (2018) An image quality index based on coefficients of spatial association with an application to image fusion. Spat Stat 23:1\u201316","journal-title":"Spat Stat"},{"key":"845_CR30","doi-asserted-by":"crossref","unstructured":"Pistonesi S, Martinez J, Ojeda S, Vallejos R (2015) A novel quality image fusion assessment based on maximum codispersion. In: Pardo A, Kittler J (eds) Proceedings of the Iberoamerican congress on pattern recognition, pp 383\u2013390","DOI":"10.1007\/978-3-319-25751-8_46"},{"issue":"4","key":"845_CR31","first-page":"30","volume":"10","author":"N Ponomarenko","year":"2009","unstructured":"Ponomarenko N, Lukin V, Zelensky A, Egiazarian K, Carli M, Battisti F (2009) TID2008\u2014a database for evaluation of full-reference visual quality assessment metrics. Adv Mod Radioelectron 10(4):30\u201345","journal-title":"Adv Mod Radioelectron"},{"key":"845_CR32","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/j.image.2014.10.009","volume":"30","author":"N Ponomarenko","year":"2015","unstructured":"Ponomarenko N, Jin L, Ieremeiev O, Lukin V, Egiazarian K, Astola J, Vozel B, Chehdi K, Carli M, Battisti F, Kuo CJ (2015) Image database TID2013: peculiarities, results and perspectives. Signal Process Image Commun 30:57\u201377","journal-title":"Signal Process Image Commun"},{"issue":"3","key":"845_CR33","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1016\/j.media.2004.06.007","volume":"8","author":"M Prastawa","year":"2004","unstructured":"Prastawa M, Bullitt E, Ho S, Gerig G (2004) A brain tumor segmentation framework based on outlier detection. Med Image Anal 8(3):275\u2013283","journal-title":"Med Image Anal"},{"issue":"2","key":"845_CR34","first-page":"69","volume":"2","author":"C Quintana","year":"2011","unstructured":"Quintana C, Ojeda S, Tirao G, Valente M (2011) Mammography image detection processing for automatic micro-calcification recognition. Chil J Stat 2(2):69\u201379","journal-title":"Chil J Stat"},{"key":"845_CR35","unstructured":"R Core Team (2017) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna. \n                    https:\/\/www.R-project.org\/"},{"issue":"3","key":"845_CR36","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1016\/j.isatra.2009.04.001","volume":"48","author":"M Sadabadi","year":"2009","unstructured":"Sadabadi M, Shafiee M, Karrari M (2009) Two-dimensional ARMA model order determination. ISA Trans 48(3):247\u2013253","journal-title":"ISA Trans"},{"key":"845_CR37","volume-title":"Statistical methods for spatial data analysis","author":"O Schabenberger","year":"2005","unstructured":"Schabenberger O, Gotway C (2005) Statistical methods for spatial data analysis. Chapman and Hall\/CRC, Boca Raton"},{"key":"845_CR38","first-page":"508","volume":"2004","author":"M Singh","year":"2004","unstructured":"Singh M, Arora H, Ahuja N (2004) A robust probabilistic estimation framework for parametric image models. Comput Vis ECCV 2004:508\u2013522","journal-title":"Comput Vis ECCV"},{"key":"845_CR39","first-page":"492","volume":"2002","author":"J Tarel","year":"2002","unstructured":"Tarel J, Ieng S, Charbonnier P (2002) Using robust estimation algorithms for tracking explicit curves. Comput Vis ECCV 2002:492\u2013507","journal-title":"Comput Vis ECCV"},{"key":"845_CR40","volume-title":"Pattern recognition","author":"S Theodoridis","year":"2003","unstructured":"Theodoridis S, Koutroumbas K (2003) Pattern recognition. Elsevier, Burlington"},{"issue":"1","key":"845_CR41","doi-asserted-by":"publisher","first-page":"130","DOI":"10.2307\/1426722","volume":"10","author":"D Tj\u00f8stheim","year":"1978","unstructured":"Tj\u00f8stheim D (1978) Statistical spatial series modelling. Adv Appl Probab 10(1):130\u2013154","journal-title":"Adv Appl Probab"},{"issue":"2","key":"845_CR42","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1080\/00949650412331321133","volume":"76","author":"R Vallejos","year":"2006","unstructured":"Vallejos R, Garc\u00eda-Donato G (2006) Bayesian analysis of contaminated quarter plane moving average models. J Stat Comput Simul 76(2):131\u2013147","journal-title":"J Stat Comput Simul"},{"issue":"3","key":"845_CR43","doi-asserted-by":"publisher","first-page":"674","DOI":"10.1198\/106186004X2183","volume":"13","author":"R Vallejos","year":"2004","unstructured":"Vallejos R, Mardesic T (2004) A recursive algorithm to restore images based on robust estimation of NSHP autoregressive models. J Comput Graph Stat 13(3):674\u2013682","journal-title":"J Comput Graph Stat"},{"issue":"3","key":"845_CR44","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1109\/97.995823","volume":"9","author":"Z Wang","year":"2002","unstructured":"Wang Z, Bovik A (2002) A universal image quality index. IEEE Signal Process Lett 9(3):81\u201384","journal-title":"IEEE Signal Process Lett"},{"key":"845_CR45","doi-asserted-by":"publisher","first-page":"434","DOI":"10.1093\/biomet\/41.3-4.434","volume":"41","author":"P Whittle","year":"1954","unstructured":"Whittle P (1954) On stationary processes in the plane. Biometrika 41:434\u2013449","journal-title":"Biometrika"},{"issue":"3","key":"845_CR46","doi-asserted-by":"publisher","first-page":"403","DOI":"10.3150\/bj\/1151525128","volume":"12","author":"Q Yao","year":"2006","unstructured":"Yao Q, Brockwell P (2006) Gaussian maximum likelihood estimation for ARMA models II: spatial processes. Bernoulli 12(3):403\u2013429","journal-title":"Bernoulli"},{"key":"845_CR47","doi-asserted-by":"crossref","unstructured":"Zielinski J, Bouaynaya N, Schonfeld D (2010) Two-dimensional ARMA modeling for breast cancer detection and classification. In: Proceedings of the international conference on signal processing and communications. IEEE, pp 1\u20134","DOI":"10.1109\/SPCOM.2010.5560514"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-018-0845-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00180-018-0845-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-018-0845-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,16]],"date-time":"2020-01-16T09:13:12Z","timestamp":1579165992000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00180-018-0845-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10,27]]},"references-count":47,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,9]]}},"alternative-id":["845"],"URL":"https:\/\/doi.org\/10.1007\/s00180-018-0845-4","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"value":"0943-4062","type":"print"},{"value":"1613-9658","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,10,27]]},"assertion":[{"value":"2 August 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 October 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 October 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}