{
  "annotation_id": "3865d77a-36e1-4c4c-92dc-a536db359b5a",
  "date_created": "2026-03-02T18:01:56.509000Z",
  "date_modified": "2026-03-02T18:01:56.509000Z",
  "file_hash": "af460bee03e06ac5decbae4c46472624515363b36481989eb27230b85656a054",
  "private": false,
  "record": {
    "abstract": "Multiparametric statistical model providing stable reconstruction of\nparameters by observations is considered. The only general method of this kind\nis the root model based on the representation of the probability density as a\nsquared absolute value of a certain function, which is referred to as a psi\nfunction in analogy with quantum mechanics. The psi function is represented by\nan expansion in terms of an orthonormal set of functions. It is shown that the\nintroduction of the psi function allows one to represent the Fisher information\nmatrix as well as statistical properties of the estimator of the state vector\n(state estimator) in simple analytical forms.",
    "arxiv_id": "quant-ph/0303013",
    "authors": [
      "Yu. I. Bogdanov"
    ],
    "categories": [
      "quant-ph",
      "physics.data-an"
    ],
    "title": "Quantum Mechanical View of Mathematical Statistics",
    "url": "https://arxiv.org/abs/quant-ph/0303013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aec5264c-56e9-4d45-a62a-78b017ceec0d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}