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titles in cube
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TristanCantatGaudin committed Mar 6, 2024
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"id": "45dca41b",
"metadata": {},
"source": [
"# Infering the size of a cube galaxy from the inside\n",
"# Toy model: infering the size of a cube galaxy from the inside\n",
"\n",
"written by Tristan Cantat-Gaudin - last edit 2023-10-27\n",
"\n",
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"id": "29d2afce",
"metadata": {},
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"# Maximum likelihood estimation from positions $(\\ell,b)$\n",
"## Maximum likelihood estimation from positions $(\\ell,b)$\n",
"\n",
"We have a function `𝚙𝚛𝚘𝚋𝚊𝚋𝚒𝚕𝚒𝚝𝚢_𝚍𝚎𝚗𝚜𝚒𝚝𝚢_𝚌𝚞𝚋𝚎` that gives us, for a given choice of cube size $a$, the probability density distribution as a function of $\\ell$ and $b$:\n",
"\n",
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"id": "a36382c5",
"metadata": {},
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"# Can I use the selection function to correct the data?\n",
"## Can I use the selection function to correct the data?\n",
"\n",
"No.\n",
"\n",
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"id": "bd1705df",
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"# Summary plot\n",
"## Summary plot\n",
"\n",
"Here we summarise the results we obtained through different methods. When using the complete sample of simulated stars, we easily recover the correct answer. Ignoring the the sample incompleteness provides a biased result. \n",
"\n",
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