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Stochastics
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Brownian Motion and Stochastic Calculus (Graduate Texts in Mathematics)Brownian Motion and Stochastic Calculus (Graduate Texts in Mathematics) by Ioannis Karatzas
Buy new: $49.60 / Used from: $41.06
Good basis
Methods of Mathematical FinanceMethods of Mathematical Finance by Ioannis Karatzas
Buy new: $63.96 / Used from: $21.99
applied to finance
Probability TheoryProbability Theory by A A Borovkov
Buy new: $163.00 / Used from: $269.93
back to basis
Graphical methods for data analysis (The Wadsworth statistics/probability series)Graphical methods for data analysis (The Wadsworth statistics/probability series) by John M. Chambers
Buy used from: $45.99
visualize your data is always a crutial step
Statistics of Random Processes IIStatistics of Random Processes II by Robert S. Liptser
Buy new: $95.80 / Used from: $57.85
all that you need, I
Statistics of Random Processes IStatistics of Random Processes I by Robert S. Liptser
Buy new: $95.20 / Used from: $80.91
all that you need, II
Probability Essentials (Universitext)Probability Essentials (Universitext) by Jean Jacod
Buy used from: $209.23
eponym...
Stochastic Calculus of Variations in Mathematical FinanceStochastic Calculus of Variations in Mathematical Finance by Paul Malliavin
Buy new: $47.96 / Used from: $51.29
Malliavin calculus has to taken into account
Series of Irregular Observations: Forecasting and Model Building (Applied Probability)Series of Irregular Observations: Forecasting and Model Building (Applied Probability) by Robert Azencott
Buy new: $96.30 / Used from: $4.95
to understand some datasets
Handbook of Brownian Motion - Facts and Formulae (Probability and its Applications)Handbook of Brownian Motion - Facts and Formulae (Probability and its Applications) by Andrei N. Borodin
Buy new: $149.00 / Used from: $196.40
your handbook
Random Iterative Models (Stochastic Modelling and Applied Probability)Random Iterative Models (Stochastic Modelling and Applied Probability) by Marie Duflo
Buy new: $96.50 / Used from: $80.80
modelling
Classical Potential Theory and Its Probabilistic Counterpart (Classics in Mathematics)Classical Potential Theory and Its Probabilistic Counterpart (Classics in Mathematics) by Joseph L. Doob
Buy new: $46.20 / Used from: $40.50
a deeper view
Stochastic Calculus in Manifolds (Universitext)Stochastic Calculus in Manifolds (Universitext) by Michel Emery
more generic