Back to Stochastic processes

4.4

101 ratings

•

33 reviews

The purpose of this course is to equip students with theoretical knowledge and practical skills, which are necessary for the analysis of stochastic dynamical systems in economics, engineering and other fields.
More precisely, the objectives are
1. study of the basic concepts of the theory of stochastic processes;
2. introduction of the most important types of stochastic processes;
3. study of various properties and characteristics of processes;
4. study of the methods for describing and analyzing complex stochastic models.
Practical skills, acquired during the study process:
1. understanding the most important types of stochastic processes (Poisson, Markov, Gaussian, Wiener processes and others) and ability of finding the most appropriate process for modelling in particular situations arising in economics, engineering and other fields;
2. understanding the notions of ergodicity, stationarity, stochastic integration; application of these terms in context of financial mathematics;
It is assumed that the students are familiar with the basics of probability theory. Knowledge of the basics of mathematical statistics is not required, but it simplifies the understanding of this course.
The course provides a necessary theoretical basis for studying other courses in stochastics, such as financial mathematics, quantitative finance, stochastic modeling and the theory of jump - type processes....

May 21, 2019

This course has less number of quiz questions but sufficient and well designed questions.

Dec 01, 2018

Well presented course. I enjoyed it and was challenged a great deal. Thank you.

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By Paul K

•Nov 22, 2018

This is an excellent course for learning the theory of stochastic processes. I have taken many courses with Coursera and to me this ranks as one of their best. It is a difficult course and covers a lot of material but I found it to be a very well developed and well-presented course. After completion I feel that I significantly improved both my knowledge and understanding of stochastic processes and probability theory.

The professor is very engaging in the lectures and employs a classical style of teaching theoretical mathematics. Theorem, proof explanation, example, theorem, proof, explanation, example pretty much right from his head to the clear board. No software is needed though I found it helpful to simulate some processes to see how they worked or to do equation solving but it is not required. Although English is not the professor’s first language this was not a problem for me although it did cause some problems for the speech to text converter that Coursera uses. It didn’t matter too much as in my opinion the professor has excellent teaching skills and provides lucid explanations to some very difficult concepts. A few times there might be some elements of a proof left out due to rushing or mistakes made in them but this was not very often and they often got sorted out in the discussion sections. Still this is a course that puts a lot of demands on the student regardless of how perfect a lecture may be. It is just the nature of the subject material. It is the closest thing to a graduate course I have taken at Coursera and it should be considered as an advanced course rather than intermediate. Some background in probability and measure theory would be very helpful to a student as the professor makes use of it during the lectures. Some background on it is provided but I found I had to do some investigation of it on my own even having studied it some in the past.

The course was a bit short on resources so I included some links to web sites and book pdf's that I found useful which can be found in the Week One Discussion Forum.

Some things I noted: The quizzes are often learning exercises not simply a recitation of facts learned in the lectures. I found the threads in the discussion forums for each week very useful as they contain some history of discussions of various problems in the course.

I highly recommend this course to any students who are seeking to improve their understanding of stochastic processes and probability theory or for strengthening their understanding of other fields of statistics that are based on time dependence like time series analysis.

By Harsh S

•Jan 04, 2019

Theoretical course , practical examples should be more

By tau

•Jun 19, 2018

I do believe the lecturer is incapable in Mathematics, even cannot give clear definitions...1) Mathematical concepts were not stated clearly... Even definitions are messed up (i.e. the lecture does not list all conditions needed for a concept...).. e.g. the definition for Fourier/inverse Fourier transform (not correct); Definition for ergodic is not right (there are a lot of definitions for ergodic Markov Processes., depending on the type of processes.) It's fine the the instructor only uses one of them, but he does not specify what conditions he enforced, even if you used the mean-square sense ergodic, you should SAY it!!2) A lot of repeating lectures. e.g. week7.2 lectures, half of it repeated the proof of "K(s,t) continuous iff K(s,t) continuous along the diagonal" this is identical the lecture 6.4 properties of covariance function.3) a lot of errors in homework questions! Even in questions in each video... Not just one, but a ton of them. Please, there are only 6 questions in a quiz and 5 of them have wrong answers... It could only tell how sloppy or how incapable the instructor is 4) As for the content, it is really just an introductory course. If the purpose was to introduce topics in stochastic processes, can you please at least state the definitions correctly and clearly? If the purpose was to focus on one of the most important stochastic process -- Brownian Motion, there isn't any important part emphasized in the course, even not a proof from Random walk to 1-d Brownian motion... 5) The last thing (just my complaint), is that the pen he used is really squeaky...errrrrr

By Xinyi J

•Apr 28, 2019

The course is good and but strongly recommend not to study without fundamental knowledge of statistics. Having knowledge like Bayesian statistics will be better I think.

By Dmitry Z

•Dec 25, 2018

The course is remarkable in that it encompasses a wide range of topics and delivers them in a structured and accessible way with virtually no effect on mathematical rigour. I liked this course more than the one I had in my university because it gave me intuition about stochastic processes and a basic framework using which I can now solve real-world problems. I would appreciate more practical tasks and more active forum discussions though.

By Ajit C B

•Oct 11, 2018

I definitely think this course should be categorized as advanced instead of intermediate. The course is mathematically quite rigorous. There are a few bugs in the quizzes and the language of many of the questions can be improved. I enjoyed many of the lectures. In particular, it was nice to connect my lay man notions of some well-known stochastic processes with their precise definitions.

By Fernando T

•Aug 10, 2018

This was a good course of stochastic poroceses. I found it quite challenging, specially the last two weeks, and i recomend this course to people who at least have taken an introductory class of probabilistic models. Also, I recomend the instrutor to give feedback to the quizes, like giving the answers and short explanations.

By Dmitry G

•Jul 22, 2018

Semi-rigorous and rather sketchy presentation of the subject, which is good for developing initial intuition. Very good for initial introduction into Stochastic processes for people already familiar with probability theory. The main drawback - lack of good illustrative physical and financial examples and proofs of big theorems. From a technical side - the course is still underdeveloped: ton of mistakes in answers for quizes, repetition of lecture material in one or other forms, not very interesting exercises. Hope all this problems would be solved, and the course will serve as laconic intro into the subject for a lot of people.

By Igor K

•May 19, 2018

The lecture rash in the material if you are not expert in convergences, sigma algebra, and many intermediate statements of probability it will hard to follow this running,

The lecture reread material and do not build intuition, I found this course as wasting time

By yash

•Jun 03, 2019

mediocre explanation and lack of exercise.

By Shyam S

•May 21, 2019

This course has less number of quiz questions but sufficient and well designed questions.

By Zhang Y

•May 04, 2019

This is an excellent course and the videos are very good.

By Wei T

•Apr 25, 2019

It's great for a beginner to learn the basic ideas about stochatic processes.

By maraka d r

•Apr 10, 2019

nice

By Rishab K

•Apr 06, 2019

Loved it.

By mohammadmahdiabdollahpour

•Mar 30, 2019

It is a good course on theory side so many nice and neat theorems an proofs but I think there needs to be some sections devoted to demonstrate applications of stochastic processes with detail. there was some of these examples but it can be more and it should exist at least for each week topic expect for some weeks.

By Liam B

•Feb 27, 2019

Very Good

By Chen N

•Jan 05, 2019

Nice course :) But it takes time to be adopted to the teaching style...

By Leandro S P

•Dec 29, 2018

The content of the course is excellent and the lectures are very clear. However, there are recurrent errors in the exercises and even in the final exam which have not been corrected.

By 贺瑞麟

•Dec 14, 2018

tres bon

By Zororo M

•Dec 01, 2018

Well presented course. I enjoyed it and was challenged a great deal. Thank you.

By 韩

•Nov 27, 2018

Please give us the explanation of the exercises, because I don't understand why my answer is wrong.

By 夏旸

•Nov 18, 2018

The content is very sufficient but if the class hour could be extended to about 30-50% more, it will help learners like me concretely understand the content within the class without referring to much more information and notes from other universities. By the way, it's good to learn things like Ito formula and Levy process in this class. Thank for the efforts made by Prof. Panov.

By Dmitry

•Nov 13, 2018

Nice course but a lot of typos in the slides.

By James L

•Nov 13, 2018

Good course. A bit heavy on the theory side but if you can absorb the theory the practitioner's side is that much easier. The last topic of the course was Levy processes so the course ended just as it was getting interesting (that's not a complaint but a compliment). Would be interested in a follow-up to the course (eg. Stochastic Processes II) to expand on concepts for quantitative finance.

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