
Description of Individual Course UnitsCourse Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  İST420  ORDER STATISTICS  Elective  4  8  5 
 Level of Course Unit  First Cycle  Objectives of the Course  To introduce the theory and application areas of order statistics.  Name of Lecturer(s)  Doç.Dr. Halil TANIL  Learning Outcomes  1  Ability to obtain probability distributions of ordered random variables  2  To be able to see the application fields of ordered random variables  3  Ability to obtain distributions of exceedance statistics  4  Ability to obtain the moments of ordered random variables  5  Ability to obtain probability distributions of functions of ordered random variables 
 Mode of Delivery  Face to Face  Prerequisites and corequisities   Recommended Optional Programme Components   Course Contents  Definition of Order Statistics, Assumptions, Marginal distribution functions, Marginal and common probability density functions, Expected value, Variance, Covariance, Characterizations for various distributions, Distributionfree confidence intervals, Exceedance statistics, Distribution of difference of two order statistics, Record values, Censored order statistics .  Weekly Detailed Course Contents  
1  Some problems for motivation    2  Definition of Order Statistics, Assumptions, Marginal Distribution Functions, Homework    3  Problem solutions    4  Marginal and joint probability density functions, Homework    5  Problem solutions    6  Distributionfree confidence intervals    7  Exceedance statistics, Homework    8  Problem solutions    9  Midterm    10  Characterizations for various distributions, Expected value, Variance, Covariance    11  Distribution of the difference of two order statistics, Homework    12  Problem solutions    13  Definition of record values, joint and marginal probability density functions    14  Progressively Type II Censored Order Statistics, Joint and marginal probability density functions, Homework    15  Problem solutions    16  Final Exam   
 Recommended or Required Reading  1. David, H.A., 1970. “Order Statistics”, John Wiley & Sons, Inc.
2. Arnold, B.C., Balakrishnan, N., Nagaraja, H.N., 2008. "A First Course in Order Statistics", John Wiley & Sons, Inc.
 Planned Learning Activities and Teaching Methods   Assessment Methods and Criteria   Language of Instruction   Work Placement(s)  
 Workload Calculation 

Midterm Examination  1  2  2  Final Examination  1  2  2  Attending Lectures  14  3  42  Individual Study for Homework Problems  5  5  25  Individual Study for Mid term Examination  1  40  40  Individual Study for Final Examination  1  50  50  
Contribution of Learning Outcomes to Programme Outcomes  LO1  4          5    4      3        LO2   5  3        5               3  LO3  4          5    4      3        LO4  4          5    4      3        LO5  4          5    4      3       
 * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High 



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