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Exponential Distribution | Mean & Variance | Moment Generating Function

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  • Опубліковано 17 сер 2024
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    This video lecture of Exponential Distribution | Mean & Variance | Moment Generating Function | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
    1. Topics Going to covered in Statistics & Probability Course
    2. What is Exponential Distribution & Continuous probability Distribution ?
    3. How to find Mean and Variance of Exponential Distribution ?
    4.How to find Moment Generating Function of Exponential Distribution
    5.How to find Characteristic Function and Probability Generating Function of Exponential Distribution .
    6. Example Based on Exponential Distribution
    #ExponentialDistribution #Mean&Variance #MGF
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    Time Stamp
    0:00 - An introduction
    1:04 - Exponential Distribution
    2:01 - Mean of Exponential Distribution
    3:38 - Variance of Exponential Distribution
    4:51 - Moment Generating Function of Exponential Distribution
    6:05 - Charactrstic function of Exponential Distribution
    6:38 - Q1.
    8:51 - Conclusion of video
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КОМЕНТАРІ • 234

  • @gajendrapurohit
    @gajendrapurohit  4 роки тому +19

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  • @yashmishra5356
    @yashmishra5356 Рік тому +51

    CORRECTION at 5:32 sir u have forget to put the -sign in denominator
    and thus our moment generating function will be lamda/lamda-t.

  • @ojasvsingh5142
    @ojasvsingh5142 4 роки тому +101

    The moment generating function should be lambda/ lambda- t ?

    • @farhanhaikhan7307
      @farhanhaikhan7307 4 роки тому +8

      Bhai beech step me t ko sir galti se 1 le liye h

    • @rishabh7423
      @rishabh7423 4 роки тому +2

      You r ryt

    • @rishabh7423
      @rishabh7423 4 роки тому +3

      I mean Ojasv singh is right..after the correction still ans is wrong

    • @lakhveer0362
      @lakhveer0362 4 роки тому +5

      Pura to dekh lea kro video pehle 😒

    • @khushalsharma7370
      @khushalsharma7370 4 роки тому +2

      Iske baad video nhi dekhi thi?

  • @shantanumaskar3846
    @shantanumaskar3846 4 роки тому +46

    Hello sir thank you so much for these videos they help me a lot........in this video there is one mistake...... mgf should be lambda/lambda - t

  • @kmishy
    @kmishy 3 роки тому +32

    I think you are the only one prof,Who has proper knowledge and is helping lots of student by heart.

  • @anand5899
    @anand5899 4 роки тому +32

    Sir I thing you have forgot - ve sign when integrating ,so it will be lambda -t in denominator

  • @aryansingh2368
    @aryansingh2368 2 місяці тому +1

    sir Dr Gajendera ,thank you for your service .
    You are one of the few REAL teachers in India , who makes students study with passion and deep understanding.

  • @nehasinha7338
    @nehasinha7338 3 роки тому +2

    Hlo sir negative binomial , hypergeometric distribution, geometric distribution pr bhi video bnaye na please sir in tino topic me bhut problem ho rha h

  • @AYUSHKUMAR-hy6ze
    @AYUSHKUMAR-hy6ze 9 місяців тому +3

    00:11 Dr. Gajendra Purohit discusses exponential distribution and its properties
    01:05 Exponential distribution is used in operational research for arrival and service times.
    02:13 Integration is used for continuous distribution
    03:20 Variance is being discussed
    04:46 Learn how to calculate MGF
    06:02 Understanding the characteristic function and MGF

  • @Ishka_gaur
    @Ishka_gaur Рік тому +4

    ur lecturers are like lifeline to us sir 😭😭😭 thnq so much

  • @kishorchakraborty5683
    @kishorchakraborty5683 Рік тому +1

    My son completed his 4th semester syllabus in a week watching your videos, thanks sir!

  • @shreyanshbopche
    @shreyanshbopche Рік тому +2

    Your videos are precious for
    Semester exams revesion
    Thank you so much 🥰

  • @AbhishekKumar-ln7qe
    @AbhishekKumar-ln7qe 4 роки тому +1

    Sir ye wala content bahut hi acha hai kyoki isme sara content includ hai like mean variance ,mgf, cf

  • @prempatel2943
    @prempatel2943 4 роки тому +1

    Nice video banate ho sir aapke hi video dekhata hu probability and statistics ke liye you are the best

  • @bhratdhakadrj
    @bhratdhakadrj 3 роки тому +3

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  • @anuragdhadse1426
    @anuragdhadse1426 4 роки тому +3

    I love watching your video. They are precisely timed to get the best out of mathematical concepts. I support you sir. Keep making such videos....💙

  • @Harshraj-un2el
    @Harshraj-un2el 3 роки тому +3

    Great video sir
    Thanks for saving time of students and making concepts easy.

  • @deepakumari315
    @deepakumari315 5 років тому +6

    Very useful content........keep making videos

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

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  • @civilspot5912
    @civilspot5912 2 роки тому +3

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  • @vivekkumar-uc4rf
    @vivekkumar-uc4rf 8 місяців тому

    thanks sir aapke hi wajah se semester clear hota hai

  • @abhinandanmishra4853
    @abhinandanmishra4853 Рік тому

    These videos are helpful for MBA students too for QAM subject!! Thank you sir.

  • @utpalkumar6436
    @utpalkumar6436 4 роки тому +2

    Yeah sir your content is very useful for us . Thanks a lot.

  • @kartik_123
    @kartik_123 Рік тому +1

    Mx(t)=lambda/(lambda-t) and
    C.F=lambda/(lambda-it)

  • @sukhdeepkaur492
    @sukhdeepkaur492 3 роки тому +1

    Thnks sir. I understand mathematics concept very easily from your lectures

  • @TusharKumar-iu4nt
    @TusharKumar-iu4nt 2 роки тому +1

    Such a good video.. This helped me for an assignment question as well!!!!

  • @ajitpal0821
    @ajitpal0821 Рік тому

    soon 1 million

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    @CSEjn-hs7st 3 роки тому +2

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  • @yuvrajmantra
    @yuvrajmantra 2 роки тому

    Yes sir bhut help karta hh as a PG student.😍😍 Thank you so much sir 💖

  • @samranaseem782
    @samranaseem782 3 роки тому +1

    thanku so much sir it help me a lot

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    @CTO371 4 роки тому

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  • @gnaneswarganta9920
    @gnaneswarganta9920 3 роки тому

    Mai bohut aasani se seik raha hun sir tqs a lot

  • @kumargourav6231
    @kumargourav6231 5 років тому +3

    Sir plz total differential equation pr video bnado jisme condition of integrability check krke solution ko find out krte hai

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +1

      Hello kumar gourav Thanks for Subscribing!
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  • @aadhyafoodchannel5221
    @aadhyafoodchannel5221 2 роки тому +1

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    @Mr.Black.44429 2 роки тому +1

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    @jitsamratsahoo1016 4 роки тому +1

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    @anshulkumar-uv3sf 3 роки тому +1

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    @Manmilan_223 Рік тому +1

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    @monalisasharma3616 7 місяців тому

    Thank you sir these videos means a lot to us

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    @sourajittechnical Рік тому

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  • @RajanSingh-ik2ie
    @RajanSingh-ik2ie 5 років тому +3

    Sir total differential equation topic pr jisme cond of integratibility check Krte h ek video bnado plz

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +4

      Hello Rajan Saraswat Thanks for Subscribing!
      Will do one By One Please Wait. I am Uploading Videos according to students demand, but it takes time.Please Understand My Point of View.
      Please share it with your friends
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  • @ShivamKumar-tg3vp
    @ShivamKumar-tg3vp 5 років тому +3

    Great Sir , thanks.

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

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  • @danishzia8192
    @danishzia8192 2 роки тому

    Sir you are great. Love from Pakistan

  • @Mr.Black.44429
    @Mr.Black.44429 2 роки тому +1

    Thank you so much 🥰🥰🥰

  • @UECAshutoshKumar
    @UECAshutoshKumar Рік тому +1

    Thank you sir ❤️

  • @ujwalaraut7769
    @ujwalaraut7769 11 місяців тому

    Hello sir, I was unable to get geometric distribution on your channel, if it is available please share the link

  • @The_vishalprajapati09
    @The_vishalprajapati09 Рік тому +1

    Sir statistics bhi padhaya karo koi teacher hi nhi h field me😭😭

  • @shabanaparveen2482
    @shabanaparveen2482 3 роки тому

    Thanks sir this video is very useful for clearing the doubts 👍

  • @vinitgoswami1416
    @vinitgoswami1416 2 роки тому +1

    Make a complete course of statistics for 3rd semester

  • @vasudevvegad9198
    @vasudevvegad9198 2 роки тому

    really sir very helpful for me thank you sir

  • @knowitnow3548
    @knowitnow3548 11 місяців тому +1

    Sir you got wrong in mgf it should be lamda/ lamda -t correct me if im wrong anyone

  • @iamadi1709
    @iamadi1709 3 роки тому

    please make video on hypergeometric distribution

  • @suryaKumar-vd7yr
    @suryaKumar-vd7yr 3 роки тому

    rajasthani sir u rr so good

  • @amanfiza6275
    @amanfiza6275 4 роки тому

    Really very fabulous b'coz very helpful😊😊

  • @twishasahoo9928
    @twishasahoo9928 2 роки тому

    Thank you sir

  • @CHChandanMansani
    @CHChandanMansani 3 роки тому

    Thank you so much sir for the videos

  • @muhammadzubair3488
    @muhammadzubair3488 4 роки тому

    Sir kindly ap geometric distribution ke memory less property ko explain kardain....
    Ap is paay bhee aik video bna dain....

  • @milansharma9363
    @milansharma9363 Рік тому

    How we are going to know that the question will be solved by the exponential function (if it's not given that it's a exp. Fn)??

  • @tusharmittal7648
    @tusharmittal7648 4 роки тому

    bhot badiya guru ji🙏🙏

  • @Rakeshkumar-jf4ty
    @Rakeshkumar-jf4ty Рік тому +1

    Nice sir 🙏 🙏

  • @ayanmondal1012
    @ayanmondal1012 4 роки тому

    Sir your video is too much helpful ♥️

  • @snehapk8191
    @snehapk8191 3 роки тому

    sir please replay , X has standered exponential distribution then the distribution of 1-e^x ?

  • @vindhyagoyal9089
    @vindhyagoyal9089 8 місяців тому

    sir please provide links of gamma and beta distribution as well

  • @mathsloversjn3453
    @mathsloversjn3453 3 роки тому

    Usefully video sir

  • @Meher5703
    @Meher5703 11 місяців тому

    Sir please double exponential distribution pa b leacture upload kra 🙏🙏🙏🙏

  • @AFM__
    @AFM__ 3 роки тому

    Sir! please drop video on gamma distribution

  • @sayandoloi8629
    @sayandoloi8629 4 роки тому

    Really very nice and helpful sir ❤️.....also make videos for Gate exam

  • @nikhilsisodia9576
    @nikhilsisodia9576 4 роки тому

    mean limits are -inf to +inf and gamma function limits are 0 to +inf. how can u use it in the integration, where you are calculating mean.

  • @bhargab.hazarika
    @bhargab.hazarika Рік тому

    Thank you so much sir

  • @shahjaysheeldipalbhai207
    @shahjaysheeldipalbhai207 3 роки тому

    sir please make a vedio on gamma distribution

  • @asmatkhan8354
    @asmatkhan8354 3 роки тому

    Best one

  • @aasan6754
    @aasan6754 2 роки тому

    07:39 0se 2 tak jaye ga sayed,or it may be f(0)+f(1)+f(2);
    sombody correct me if i am wrong

  • @abdulmuhymin5583
    @abdulmuhymin5583 4 роки тому

    Plz do video on triangular distribution

  • @Raj-rl9ox
    @Raj-rl9ox 4 роки тому

    Don't care about comments
    Keep it up.
    You are guru of mathematics.

  • @debopriyaful
    @debopriyaful 3 роки тому

    Sir what is the practical implementation of characteristic function??

  • @shivinkanstiya8538
    @shivinkanstiya8538 5 років тому +1

    Please make video on rodrigues formula and recurrence formula

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Hello Shivin Kanstiya Thanks for Subscribing!
      Will do one By One Please Wait. I am Uploading Videos according to students demand, but it takes time.Please Understand My Point of View.
      Please share it with your friends
      Thanks

  • @AbdulRahman-zp5bp
    @AbdulRahman-zp5bp 2 роки тому

    how do we get to know that this question is for exponential distribution??

  • @dr.gurusharankaur3003
    @dr.gurusharankaur3003 Рік тому

    Hello Sir, your lectures is very good always, but sometimes your explanation is so fast and handwriting is not visible properly 🙂

  • @sushanty993
    @sushanty993 2 роки тому

    Super sir

  • @blackbird-_-8666
    @blackbird-_-8666 Рік тому

    5:29 sir gamma function bhi use kr skte hain kya X=0 rkh kr

  • @fazalhussain4656
    @fazalhussain4656 2 роки тому +1

    Kindly correct at the end part: M = [lamda/(lamda - t)]

  • @ag_richa13
    @ag_richa13 3 роки тому +1

    ∫e^-x(λ -t)dx = -e^-x(λ -t)
    so ans is
    Ex(t) = λ / λ - t
    Φx(t) = λ / λ - ιt

    • @redskull1890
      @redskull1890 2 роки тому

      U also did a mistake here😸😸...your denominator term is not there after integration but still good work 👍👍

  • @AnjaliSingh-ry9mx
    @AnjaliSingh-ry9mx 6 місяців тому +1

    Mgf me t kya signify karta h?

  • @yashnikhare7263
    @yashnikhare7263 5 років тому +2

    Sir u rock

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Hello Yash Nikhare
      Thanks for Subscribing!, your appreciation always motivate us to do such kind work.
      Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit
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  • @kamleshsaini2746
    @kamleshsaini2746 2 роки тому

    Thanku so much sir 😊😊

  • @dileepkadagala5064
    @dileepkadagala5064 Рік тому

    thanku sirrr..

  • @shakikmahmud2838
    @shakikmahmud2838 3 роки тому

    excellent sir.

  • @bittughosh2412
    @bittughosh2412 2 роки тому

    Great session.

  • @mahesh-jg3zx
    @mahesh-jg3zx 5 років тому

    Sir awesome and simply super plz continue sir but don't ask money

  • @laxmankumarmandal1981
    @laxmankumarmandal1981 3 роки тому

    Very useful sir👍

  • @ranjanghosh2815
    @ranjanghosh2815 3 роки тому

    if x~Beta(a,b) {first kind} then what would be the MGF of log(X/1-X)

  • @niteshmeena1959
    @niteshmeena1959 Рік тому

    Thank you sir 🙂

  • @jsrk3285
    @jsrk3285 5 років тому +2

    Sir differential geomatry ki video bna do plz sir

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Hello Sarook Khan Thanks for Subscribing!
      Will do one By One Please Wait. I am Uploading Videos according to students demand, but it takes time.Please Understand My Point of View.
      Please share it with your friends
      Thanks

  • @DeepakJaat-cn9dg
    @DeepakJaat-cn9dg 8 місяців тому

    Gjb sir

  • @mayankraj4763
    @mayankraj4763 3 роки тому +1

    5:40 Sir, you missed the minus sign.

  • @juniorengineerwithupscuspirant

    Thanku so much sir ❤️

  • @adnansalmani3458
    @adnansalmani3458 4 роки тому

    Sir About Fitting of exponential distribution problems ???

  • @aishwarya1895
    @aishwarya1895 4 роки тому

    Grt lecturer ✌

  • @nitinguptauniqueediting
    @nitinguptauniqueediting 5 років тому +2

    sir ek total differential wale topic ki ek video bnado

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

      Hello Nitin Gupta Thanks for Subscribing!
      Will do one By One Please Wait. I am Uploading Videos according to students demand, but it takes time.Please Understand My Point of View.
      Please share it with your friends
      Thanks

    • @nitinguptauniqueediting
      @nitinguptauniqueediting 5 років тому

      thats ok sir but in my class many of students have subscribed to ur channel and our sem is coming so it is the request to plz make the video soon for our preparation

    • @nitinguptauniqueediting
      @nitinguptauniqueediting 5 років тому

      sir plz make it befor 19 april

  • @010mefardeenhasan4
    @010mefardeenhasan4 2 роки тому

    sir please take some hard questions also