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Long term behavior of incomplete and time varying product ratings

Author

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  • Kokoszka, Piotr
  • Singh, Deepak
  • Wang, Haonan

Abstract

Customer feedback is widely used to choose a product among various competing products. Such feedback is most commonly available to consumers via average 0–5 star ratings. These ratings are based only on opinions of purchasers who decided to rate a product and reflect a long term average of those available responses. We develop the SLLN and the CLT applicable to this realistic situation. In particular, we establish a relationship between the true and the reported long term ratings and study the impact of the probability of leaving a rating.

Suggested Citation

  • Kokoszka, Piotr & Singh, Deepak & Wang, Haonan, 2022. "Long term behavior of incomplete and time varying product ratings," Statistics & Probability Letters, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:stapro:v:184:y:2022:i:c:s016771522200013x
    DOI: 10.1016/j.spl.2022.109387
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    References listed on IDEAS

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    1. Tang, Jen & Gupta, A. K., 1984. "On the distribution of the product of independent beta random variables," Statistics & Probability Letters, Elsevier, vol. 2(3), pages 165-168, May.
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