Linear Combination for Business Parameters Measurement

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I have some entity which is represented by n-dimensional column vector. Each coordinate of the vector represents some business parameter (x1 - $ earned by this entity, x2 - views of the entity, x3 - click on the entity, and so on...).
I need to find a way to rank the entities, and thought to do that by defining a metric space with an inner product.
I'd be happy to get some suggestions about how should I define the inner product (aka the metric). I tried to search some references online about business analytics, but couldn't find something related.
Any suggestions? Links to references will be great also.



Thanks.




metric-spaces linear-transformations




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    up vote
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    I have some entity which is represented by n-dimensional column vector. Each coordinate of the vector represents some business parameter (x1 - $ earned by this entity, x2 - views of the entity, x3 - click on the entity, and so on...).
    I need to find a way to rank the entities, and thought to do that by defining a metric space with an inner product.
    I'd be happy to get some suggestions about how should I define the inner product (aka the metric). I tried to search some references online about business analytics, but couldn't find something related.
    Any suggestions? Links to references will be great also.



    Thanks.




    metric-spaces linear-transformations




    share|cite|improve this question





















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I have some entity which is represented by n-dimensional column vector. Each coordinate of the vector represents some business parameter (x1 - $ earned by this entity, x2 - views of the entity, x3 - click on the entity, and so on...).
      I need to find a way to rank the entities, and thought to do that by defining a metric space with an inner product.
      I'd be happy to get some suggestions about how should I define the inner product (aka the metric). I tried to search some references online about business analytics, but couldn't find something related.
      Any suggestions? Links to references will be great also.



      Thanks.




      metric-spaces linear-transformations




      share|cite|improve this question











      I have some entity which is represented by n-dimensional column vector. Each coordinate of the vector represents some business parameter (x1 - $ earned by this entity, x2 - views of the entity, x3 - click on the entity, and so on...).
      I need to find a way to rank the entities, and thought to do that by defining a metric space with an inner product.
      I'd be happy to get some suggestions about how should I define the inner product (aka the metric). I tried to search some references online about business analytics, but couldn't find something related.
      Any suggestions? Links to references will be great also.



      Thanks.





      metric-spaces linear-transformations





      share|cite|improve this question










      share|cite|improve this question




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      asked Jul 30 at 15:25









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