Master Award in
Probability and Statistics for Data Analysis
Master Award could transfer 20 credits and 50% tuition fees to Master’s programs of UKeU and/or Partner University.

Master Award in Probability and statistics for data analysis
The aim of this award is to provide an overview of fundamental concepts in probability and statistics from first principles. This unit will introduce the core probability and statistical methods used in data science and a range of data analytic processes and techniques.
Could transfer 20 credits and 50% tuition fee to the Master of Data Science of UKeU.
Learning Outcomes:
1. Develop understanding of distribution theory.
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1.1 Explain probability distribution with examples.
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1.2 Explain various types of probability distribution with examples.
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1.3 Discuss Probability distribution fitting with examples.
2. Develop understanding of classical inference.
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2.1 Assess how Inferential statistical analysis is different from descriptive statistics.
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2.2 Distinguish between three levels of modelling assumptions.
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2.3 Discuss Frequentist inference with examples.
3. Develop understanding of Bayesian statistics.
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3.1 Explain Bayes’ theorem and its use in statistics.
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3.2 Evaluate Bayesian experimental design with appropriate examples.
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3.3 Discuss Markov Chain Monte Carlo (MCMC) methods and MCMC simulations with examples.
4. Develop understanding of Linear modelling.
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4.1 Discuss simple and multiple linear regression models with examples.
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4.2 Discuss various Linear least squares methods with examples.
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4.3 Critically evaluate how Linear regression models are used in AI/Machine learning.
Topics:
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Probability distribution-Bernoulli distribution, Binomial distribution, Normal distribution, Probability measure, Random variable, Bernoulli process, Markov chain, Observed value, Random walk, Stochastic process.
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Cumulative distribution function, Discrete probability distribution, absolutely continuous probability distribution.
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Method of moments, Maximum spacing estimation, Method of L-moments, Maximum likelihood method
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Inferential statistics- a point estimate, an interval estimate, a credible interval; Descriptive statistics- Univariate analysis, Bivariate and multivariate analysis
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Degree of models- Fully parametric, Semiparametric, non-parametric
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P-value, Confidence interval, Null hypothesis significance testing.
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Bayesian inference, Statistical modelling
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Linear theory, Approximate normality, Posterior distribution.
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Metropolis-Hastings algorithm, Slice sampling, Hamiltonian (or Hybrid) Monte Carlo (HMC).
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Simple linear regression, multivariable linear regression.
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Linear least squares methods: Ordinary least squares, weighted least squares, Generalized least squares.
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Cost Function, Gradient Descent, Forecasting, Predictions.
Indicative reading list
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Kaptein, M., & den, H. E. van. (2022). Statistics for data scientists: An introduction to probability, statistics, and data analysis. Springer.
Entry requirements
To enroll The Master Award, the learner must possess:
- Graduated with a Bachelor’s degree from an accredited university or achieved a Level 6 Diploma according to the European Qualifications;
- For a degree from non-recognized universities; The learner should have followed Accreditation of Prior Experiential Learning for Qualifications (APEL.Q) policy of MI Swiss and/or University Partners;
- Learners must be over 21 years old.
English requirements
If a learner is not from a predominantly English-speaking country, proof of English language proficiency must be provided.
- Common European Framework of Reference (CEFR) level B2 or equivalent;
- Or A minimum TOEFL score of 101 or IELTS 5.5; Reading and Writing must be at 5.5 or equivalent.
The UKeU reserves the highest decision-making authority regarding admissions and may accept or reject applicants following a thorough review of each applicant’s profile, ensuring that only those capable of benefiting from the course are admitted. Qualifications from diploma mills or fake universities/institutions will not be accepted by UKeU and/or Partner University.
After graduating with Master Award, learners receive all certified documents from the UKeU.
Certified Documents:
- e-Certificate from the UK eUni Worldwide (UKeU);
- Hard copy certificate from UK eUni Worldwide (UKeU) (Optional);
- Accreditation of Prior Experiential Learning for Qualifications (APEL.Q) certified from UKeU for credit and tuition fee transfer.
Because the course is accredited and recognized, learners can easily use their qualifications in the workplace and enjoy many opportunities for career advancement. In addition, if you wish to pursue a degree from UKeU and/or a Partner University, all credits and 50% paid tuition fees can be transferred.
The UKeU’ Master Award means:
UKeU Master Award is the award at the master level and is equivalent to:
- Level 7 certificate of Regulated Qualifications Framework (RQF) of UK
- Level 10 certificate of Scottish Credit and Qualifications Framework (SCQF)
- Level 7 certificate of Credit and Qualifications Framework (CQFW)
- Level 7 certificate of European Qualifications Framework (EQF)
- Level 9 certificates of the Australian Qualifications Framework (AQF)
- Level 7 certificate of ASEAN Qualifications Reference Framework (AQRF)
- Level 9 certificate of the African Continental Qualifications Framework (ACQF)
Learners can transfer all credits and 50% of their tuition fees when enrolling in UKeU and/or Partner University academic programs if they wish to pursue an academic degree.
Credits transfer:
Learners can transfer 20 credits from the Master Award course when participating in the Master program. Please see the credit transfer policy HERE.
Tuition fee transfer:
When enrolling in the Master program, graduates from the Master Award will receive a fee reduction equal to 50% of the tuition fees paid for the Master Award. Please refer to the tuition fee transfer policy HERE.
The UKeU Micro Degree course allows learners to transfer credits and 50% of their tuition fees toward full degree programs offered by UKeU and/or Partner University. UKeU reserves the right to limit admissions once enrollment exceeds the set quotas.
Apply Policy:
- To participate in the UKeU Micro Degree course, learners need to meet the entry criteria corresponding to each level. Please see the “Entry” tab for more details.
- UKeU will not accept applicants whose entry qualifications are from fake universities or institutions that are not accredited.
- For Master Award courses, if an entry bachelor is unavailable, learners must demonstrate a minimum of 5 years of work experience in the relevant field. Please note that a bachelor’s degree is required for the Master’s program at UKeU and Partner University so that you could study Master Award but could not move to the Master’s program of UKeU and/or Partner University.
- English is not a mandatory entry requirement for Micro Degree course, but candidates need to ensure that English is used in reading documents, listening to lectures, and doing assignments. Applicants should note that English is a mandatory requirement when switching to an academic program at UKeU and Partner University.
Apply Process:
- Step 1: To request a consultation for a course that best suits your needs, please email support@ukeu.uk. Our admissions department will contact you to guide you through the required documentation and the next steps in the application process.
- Step 2: Once your application documents are approved and the application fee is paid, UKeU will issue a Letter of Acceptance (LOA). You will then follow the provided instructions, including payment of the tuition fee.
- Step 3: After the tuition fee is paid, UKeU will issue a confirmation letter, provide your login details for the e-learning system, and send you all relevant documents.
- At this point, you have officially become a UKeU student. Welcome, and enjoy your learning journey!
The UKeU Micro Degree course is fully online, allowing you to study anytime and anywhere. You also have the option to attend live classes with UKeU. Final exams will be uploaded to the system and assessed by the UKeU academic board. Learners are required to submit assignments on time; failure to do so will require payment of a resit fee (with up to two attempts allowed). Continued non-compliance on a third occasion will result in being considered as having discontinued the course, and tuition fees will not be refunded.
Pricing Plans
Take advantage of one of our non-profit professional certified courses with favorable terms for your personal growing carreers.
- Live Class (Optional)
- Full online videos
- e-Books
- Self study contents
- Online tutor videos
- Assignment guide
- e-Certificate
- Hard copy certificate from UKeU and/or Partner Universities
- APEL.Q certified from UKeU for credit and tuition fee transfer
- Deliver hard copy certificate and all certified documents to your home
- Transfer full credits & 50% tuition fees to equivalent academic programs
- Opportunity to get scholarships when becoming Partner Universities' international students
UKeU MICRO DEGREE
Contact us
If you interested this micro credential course, please feel free to contact with us! Please note that this program is a not for profit and learning with full online model.