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Record W4254018524 · doi:10.32920/ryerson.14646330.v1

Statistical models for the dynamics of brand equity

2021· preprint· en· W4254018524 on OpenAlexafffund
Chengliang Huang

Bibliographic record

Venuenot available
Typepreprint
Languageen
FieldDecision Sciences
TopicInnovation Diffusion and Forecasting
Canadian institutionsToronto Metropolitan University
FundersGovernment of Ontario
KeywordsBrand equityAutoregressive modelBrand managementBrand awarenessComputer scienceEconometricsEquity (law)Statistical modelMarketingMathematicsBusinessMachine learning

Abstract

fetched live from OpenAlex

The purpose of this research is to propose statistical models, develop certain procedures/approaches needed to estimate these models, and when marketing data are available, provide insights about brand equity dynamics in marketing practice, especially firm-based brand equity. In this dissertation, two categories of models are explored. In Chapter II, autoregressive models with exogeneous inputs (ARX) are proposed for brand structural analysis. These models are useful when brand values are known, and the sample size is relatively small. Another category of models, state space models, are proposed when brand values are unavailable. In Chapter III and IV, an approach or a procedure is proposed or designed to guess initial parameter values for a certain iteration algorithm. Moreover, Moreover, mathematical optimization methods are introduced and integrated to estimate unknown parameters of the models for brand equity dynamics. There are at least two important findings. Firstly, the implementation of brand value structure analysis can be realized through the application of an ARX model and the assessment of a firm’s brand management performance is possible. Secondly, innovative approaches must be developed to guess the starting values for iterations and to estimate parameter values of different state space models. These findings are from this innovative and contributive research. Through brand structure analysis, a novel effort in research on brand equity dynamics, brand financial performance outcome is linked with brand equity sources, while long-term brand value is distinguished from short-term performance. The analysis helps brand managers to obtain the insights into the brand performance and the ability to focus on long-term outcomes of marketing campaigns. Moreover, innovative approaches are proposed in applying state space models for brand equity dynamics analysis. Weight least square method is used in guessing the initial parameter values for a state space model with one input series and one state series. For a state space model with two input series and two state series, as well as nonlinear constraints, a procedure is designed to guess the initial parameter values. Moreover, nonlinear mathematical optimization methods are introduced and integrated to estimate the parameter values during the implementation of the expectation-maximization algorithm.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.004
metaresearch head score (Gemma)0.013
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.008
Threshold uncertainty score0.026

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0040.013
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0020.002
Science and technology studies0.0000.002
Scholarly communication0.0020.003
Open science0.0020.001
Research integrity0.0020.003
Insufficient payload (model declined to judge)0.0080.001

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.322
GPT teacher head0.463
Teacher spread0.140 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designSimulation or modeling
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

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Citations0
Published2021
Admission routes2
Has abstractyes

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