What is the difference between Sample Path and Sample Space in stochastic process?

Actuary Forums Forums Actuarial Subjects CS2 (CT4 & CT6) What is the difference between Sample Path and Sample Space in stochastic process?

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  • #23481
    ravjot
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      .

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      #24752
      Rishabh Surana
      Moderator

        Ravjot wrote:

        .

        Sent from my Nokia 5.1 Plus using Actuarial Info mobile app

        Sample path:- sample path refers to all the possible routes that a particle (i) can take to go from one state to another

        State space:- state space refers to all the possible values that a particle( i ) can take while moving on a sample path

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        #24753
        ravjot
        Participant

          RISHABH wrote:

          Ravjot wrote:

          .

          Sent from my Nokia 5.1 Plus using Actuarial Info mobile app

          Sample path:- sample path refers to all the possible routes that a particle (i) can take to go from one state to another

          State space:- state space refers to all the possible values that a particle( i ) can take while moving on a sample path

          Sent from my SM-A605G using Actuarial Info mobile app

          Thanks rishabh

          But I asked for the difference between sample path and sample space not state space.

          Sent from my Nokia 5.1 Plus using Actuarial Info mobile app

          #24754
          Rishabh Surana
          Moderator

            Ravjot wrote:

            RISHABH wrote:

            Ravjot wrote:

            .

            Sent from my Nokia 5.1 Plus using Actuarial Info mobile app

            Sample path:- sample path refers to all the possible routes that a particle (i) can take to go from one state to another

            State space:- state space refers to all the possible values that a particle( i ) can take while moving on a sample path

            Sent from my SM-A605G using Actuarial Info mobile app

            Thanks rishabh

            But I asked for the difference between sample path and sample space not state space.

            Sent from my Nokia 5.1 Plus using Actuarial Info mobile app

            Sample Space & State space is one and the same thing .

            Sent from my SM-A605G using Actuarial Info mobile app

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          Actuary Forums Forums Actuarial Subjects CS2 (CT4 & CT6) What is the difference between Sample Path and Sample Space in stochastic process?