A DB estimation method for the E-MN probability distribution parameters with applications in humanities

[1] S. Ali, J. Ara and I. Shah, A comparison of di erent parameter estimation methods for exponentially modi ed Gaussian distribution. Afrika Matematika, 33(2): (2022) 1{34.

[2] J. Ara, S. Ali and I. Shah, Monitoring schedule time using exponentially modi ed Gaussian distribution. Quality Technology & Quantitative Management, 17(4): (2020) 448{469.

[3] M. Bagnoli, and T. Bergstrom, Log-concave probability and its applications. Economic Theory, 26 (2): (2005) 445{469.

[4] A. Berger, and M Keifer, Comparison of di erent response time of outlier exclusion methods: a simulation study. Frontiers in Psychology, 12: (2021) 1{13.

[5] B. Cai, R. Meyer and F. Perron, Metropolis-Hastings algorithm with adaptive proposals. Statistics and Computing, 18 (4): (2008) 421{433.

[6] M.S.N Chowdhury, A. Dutta, M.K. Robison, C. Blais, G.A. Brewer and D.W. Bliss, Deep neural network for visual stimulus-based reaction time estimation using the periodogram of single-trial EEG. MDPI, 20 (21): (2020) 1{20.

[7] D. Cousineau and T.A. Allan, Likelihood and its use in parameter estimation and model comparison. Measurement and evaluation education, 37 (3): (2015) 63{98.

[8] M.R.W. Dawson, Fitting the ex-Gaussian equation to reaction time distributions. Behavior Research Methods, Instruments, & Computers, 20 (1): (1988) 54{57.

[9] P. De Boeck and M. Jeon, An overview of models for response times and processes in cognitive tests. Frontiers in Psychology, 10: (2019) 1{11.

[10] P. Erickson, The world the game theorists made. University of Chicago Press, 2015.

[11] T.J. Faulkenberry, Psychological statistics, the basics (1st edition). Routledge, 2022.

[12] L.M. Fernandez, M.A. Vadillo, Flexibility in reaction time analysis: many roads to a false positive? The Royal Society Open Science, 7 (20): (2020) 1{8.

[13] D. Fitousi, Decomposing the composite face e ect: evidence for non-holistic processing based on the ex-Gaussian distribution. Quarterly Journal of Experimental Psychology, 73 (6): (2020) 819{840.

[14] C. Gosse, M.V. Reybroeck, Do children with dyslexia present a handwriting de cit? Impact of word orthographic and graphic complexity on handwriting and spelling performance. Research in Developmental Disabilities, 97: (2020) 1{14.

[15] N. Guy, O.C. Lancry-Dayan and Y. Pertzof, Not all  xations are created equal: the bene ts of using ex-Gaussian modeling of  xation durations. Journal of Vision, 20 (10): (2020) 1{16.

[16] A. Heathcote, S. Brown, and D.J.K. Mewhoet, Quantile maximum likelihood estimation of response time distributions. Psychonomic Bulletin & Review, 9 (2): (2002) 394{401.

[17] J. Holden, E. Francisco, R. Lensch, A. Tommerdahl, B. Kirsch, L. Zai, R. Dennis and Tommerdahl, Accuracy of di erent modalities of reaction time testing: implications for online cognitive assessment tools. bioRxiv, (2019) 1-21.

[18] A. Hutt, W. Stannat and R. Potthast, Data assimilation and control: theory and applications in life sciences. Frontiers Media SA. 2019.

[19] S. Jackman, Bayesian analysis of the social sciences. John Wiley & Sons. 2009.

[20] D. Keirnan, and D.R. Bear, What spelling tells us about the orthographic development and word study instruction with emergent bilingual secondary students. Reading psychology, 39 (3): (2018) 227{252.

[21] M.R. Kramer, P.H, Cox, A.B. Yu, D.J. Kravitz and S.R. Mitro , Moving beyond the keypress: as technology advances, so should psychology response time measurements. Perception. 50 (6): (2021) 555{565.

[22] H. Lewandowsky, and S. Farrel, Computational modeling in cognition: principles and practice. SAGE. 2011.

[23] T.D. Little, The Oxford handbook of quantitative methods, volume 1: foundations. Oxford University Press, 2013.
[24] F. Marmolejo-Ramos, D. Cousineau, L. Benites and R. Maehara, On the ecacy of procedures to normalize ex-Gaussian distributions. Frontiers in Psychology, 5: (2015) 1{13.

[25] L. Martino, J. Read and D. Luengo, Independent doubly adaptive rejection Metropolis sampling within Gibbs sampling. IEEE Transactions on Signal Processing, 63 (12):(2015) 3123{3138.

[26] T. Moins, J. Arbel, A. Dutfoy and S. Girard, A local version of R-hat for MCMC convergence diagnostic. SFdS 2022 - 53emes Journees de Statistique de la Societe Francaise de Statistique, (2022) 1{6.

[27] E.M. Palmer, T.S. Horowitz, A. Torralba and J.M. Wolfe, What are the shapes response time distributions in visual search? J Exp Psychol Hum Percept Perform, 73 (1): (2011) 58{71.

[28] S. Panis, F. Schmidt, M.P. Wolkersdolfer and T. Schmidt, Analyzing Response Times and Other Types of Time-to-Event Data Using Event History Analysis: A Tool for Mental Chronometry and Cognitive Psychophysiology. i-Perception, 11 (6): (2020) 1{24.

[29] M. Ra que, S. Ali, I. Shah and B. Ashraf, A comparison of di erent Bayesian models for leukemia data. American Journal of Mathematical and Management Sciences, (2021) 1{15.

[30] J. Ranger, J.T. Kuhn and T.M. Ortner, Modeling responses and response times with the hierarchical model and the three-parameter lognormal distribution. Educational and Psychological , 80 (6): (2020) 1059{1089.

[31] B.V.R. Reddy, P. Pagadala and G.M. Rayalu, Analysis of transformations and their applications in statistics: extended Box and Cox transformation regression. LAP LAM-BERT Academic Publishing, 2013.

[32] A. Roelofs, One hundred  fty years after Donders: insights from unpublished data, a replication, and modeling of his reaction times. Acta Psychologica, 191: (2018) 228{233.

[33] G.A. Rousselet, R.R. Wilcox, Reaction times and other skewed distributions: problems with the mean and the median. Meta-Psychology, 4: (2019) 1-39.

[34] D.P. Spangler, K.R. Cox, J.F. Thayer, J.R. Brooks and B.H. Freidman, Interplay between state anxiety, hear rate variability, and cognition: an ex-Gaussian analysis of AR times. International Journal of Psychophysiology, 159: (2021) 60{70.

[35] P.M. Steiner, Y. Kim, C.E. Hall and D. Su, Graphical models for quasi-experimental designs. Sociological Methods & Research, 46 (2): (2017) 155{188.

[36] R.J. Sternberg, The Cambridge handbook of the intellectual history of psychology. Cambridge University Press, 2019.
[37] A. Vatakis, F. Balci, M.D. Luca and A. Correa, Timing and time perception: procedures, measures, & applications. BRILL, 2018.

[38] K. Wada, Outliers in ocial statistics. Japanese Journal of Statistics and Data Science, 3. (2020) 669{691.

[39] A. Wolf, Textbook of logic. Routledge, 2020.

[40] A. Yamashita, D. Rothlein, A. Kucye, E.M. Valera, L. Germine, J. Wilmer, J. DeGutis and M. Esterman, Variable rather than extreme slow reaction times distinguish brain states during sustained attention. Scienti c Reports, 11 (1): (2021) 1{13.