Here are some pictures of the plant:

It is also hard to tell--the bottom of the pot isn't shown in your pictures...cant tell whether you have something there to catch drainage. Possibly the pot is of plastic make up which does hold moisture longer than say...clay.

It would serve you better to tell us in what kind of exposure...i.e. in what kind of light you have it...from what direction.
While Aspidistra can take low-light...it has to have SOME light and when the sun is as low as it is at this time, it may be crying out for more sunlight.

The conditions suggests possible causes for the browning of leaves. Overwatering is the one most often cause of what you see. The plant, as suggested, looks like it doesn't drain well. Plants must drain, otherwise, water builds up in and around their roots which in very short time starts to rot and once that starts, there's hardly any plant that can stand up to it. Leaves are the first sign.

Your plant should be kept on the moist side...but that doesn't mean it can be kept wet or soggy. That begets rotting roots.
Moist just means it is watered more often keeping the soil a little damper than usual....but it must drain properly.

The water should not be cold. From out of the tap, water should be allowed to gain room temperature before applying.
That can be easily accomplished by lett it sit overnight. Your plant doesn't need fertilizing in winter....feed it only when it begins to grow in spring. Water a houseplant first before fertilizing.
Sometimes when water has a too-high concentration of salts, that can also cause browning tips and edges. The overnighting can help in this.

If you give it more light by putting it closer to a window, you can try giving it a northern exposure which is very low at this time. As sunlight improves toward February, draw it back from the light. Give it a position behind curtains but yet allows good light.

Your plant's leaves can be clipped back with a sharp pair of scissors. Any dead or dying leaves can be removed.
The brown tips can be improved with the giving it of some humidity. A pebble tray...that is, a tray with gravel that you add water to just below the top of the gravel to which you then set the plant on. The bottom of the pot must not make contact with the water. The heat of the room will cause moisture to rise.
A once in a while misting of the plant can be done to also supply some moisture content to the room which, with the furnace on, can be very dry.
Sometimes, where heat vents are close by, the high nightime temperatures of the room can cause yellowing of leaves.
Keep the plant out of drafts....away from heat vents or doors that are constantly opened and closed. If its possible, to give it more light at this time, raise it.
Put it on a table or pedestal.

If, as I suspect, your plant has been overwatered due to poor drainage, you must correct that. The condition of the plant might warrant a look-see at the roots to make sure they are not rotting. This normally calls for the plnnt to be unpotted. If the soil there is unusually damp or wet, you can place the blame at the feet of your watering habits.
A complete change of soil may be called for in which case you can use any good potting soil or potting mix.
Do see to its good drainage. Water it well, let it drain and don't let the plant sit in the drainage water much longer than 10 minutes before you dump it.

If you suspect it is not a watering problem, then look to possible invasion of pests and treat accordingly.

My guess would be that the plant is too wet, but it's very hard to say because you don't tell us anything about the conditions they're in. How much light are they getting? Window or artificial? If a window, which direction does it face? How do you decide when to water? How often do you wind up watering? Are you feeding the plant? How often? Is it in a draft, or a heating vent? What's the usual temperature in this location? Has anything in the plant's environment changed in the last month or two? How long have you had the plant? Etc.

I grew this a very long time ago, never saw this problem. Looks more to me like underwatering or too dry. I too would cut off the damaged leaf tips, if you can picture it, cut it back just past the damage, trying to cut & shape like the original leaf silhoutte.

If it were mine, I'd unpot it to see what's going on w/ the mix, is it drying up & hardening off, is it losing roots?

I noticed it looks like it is setting at the bottom or landing of a stairwell, could be a light issue, how long have you had it there? Yellowing to me has usually meant over watering but your soil looks to be on the dry side. Maybe it is an overdose of fertilizer?

Here's a link to an "Aspidistra" plant below.
As you can see, the dracaena fragrans (corn plant) plant in question, has long leaves and long tree like woody trunks and can grow as tall as the ceiling.

Billy Rae

It doesn't look like spider mites or other pests. Could be fertilizer burn - I have discovered that plants moved from bright light to low light often show symptoms of fertilizer burn from existing fertilizer in the soil, even if you haven't added any more.

It also looks like it could use more light, if that's possible for you.

You can take a sharp scissors and recut the tips of the leaves into a point if you want to improve its looks. I wouldn't worry about the leaf shine - it's not a big issue. I personally don't like the water meters - I find that using your finger is much more accurate.